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Hi, there--
PROBLEM: Solve for y.
-3(2y-8)-y=-2(y-4)
SOLUTION:
Clear parentheses.
-6y + 24 - y = -2y + 8
Add 2y to both sides of equation and combine the y-terms.
-6y + 24 - y + 2y = -2y + 8 +2y
-5y + 24 = 8
Subtract 24 from both sides of the equation and combine the constant terms.
-5y + 24 - 24 = 8 - 24
-5y = -16
Divide both sides of the equation by -5.
y = 16/5
Rewrite in decimal form.
y = 3.2
Check your answer in the original equation. Substitute 3.2 for y.
-3(2y - 8) - y = -2(y - 4)
-3(2(3.2) - 8) - 3.2 = -2((3.2) - 4)
-3(6.4 - 8) - 3.2 = -6.4 + 8
-3(-1.6) - 3.2 = 1.6
4.8 - 3.2 = 1.6
1.6 = 1.6
Check!
The solution to your equation is y = 3.2.
That's it,
Ms.Figgy
