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put this solution on YOUR website! 6(2 + y) - 4 = -10
6·2 + 6·y - 4 = -10 *remove parentheses using distributive principle
12 + 6y - 4 = -10
8 + 6y = -10 *combine 12 and -4 to get 8 on left
8 + 6y - 8 = -10 - 8 *subtract 8 from both sides
6y = -18 *combine -10 and -8 on right
6y -18
-- = ----- *divide both sides by -6
6 6
y = -3
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7(y-2) + 8 = 3(y-4) - 2
7y - 14 + 8 = 3y - 12 - 2 *distributive principle
7y - 6 = 3y - 14 *combining terms
7y - 6 + 6 = 3y - 14 + 6 *adding 6 to both sides
7y = 3y - 8
7y - 3y = 3y - 8 - 3y *subtracting 3y from both sides
4y = -8 *combining terms
4y -8
---- = ---- *divide both sides by 4
4 4
y = -2
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6(3+5y) + 5(y-8) = 13
18 + 30y + 5y - 40 = 13 *distributive principle
-22 + 35y = 13 *combining terms
-22 + 35y + 22 = 13 + 22 *adding 22 to both sides
35y = 35 *combining terms
35y 35
----- = ---- *dividing both sides by 35
35 35
y = 1
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2(f+3) - 2.7 = 3(f+1.1)
2f + 6 - 2.7 = 3f + 3.3 *distributive principle
2f + 3.3 = 3f + 3.3 *combining terms
2f + 3.3 - 3.3 = 3f + 3.3 - 3.3 *subtracting 3.3 from both sides
2f = 3f *combining terms
2f - 3f = 3f - 3f *subtracting 3f from both sides
-1f = 0 *combining terms
-1f 0
----- = --- *dividing both sides by -1
-1 -1
f = 0
Edwin
AnlytcPhil@aol.com
