2(y-4)=5(y+1)-7

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Solution for 2(y-4)=5(y+1)-7 equation: 


Simplifying
2(y + -4) = 5(y + 1) + -7

Reorder the terms:
2(-4 + y) = 5(y + 1) + -7
(-4 * 2 + y * 2) = 5(y + 1) + -7
(-8 + 2y) = 5(y + 1) + -7

Reorder the terms:
-8 + 2y = 5(1 + y) + -7
-8 + 2y = (1 * 5 + y * 5) + -7
-8 + 2y = (5 + 5y) + -7

Reorder the terms:
-8 + 2y = 5 + -7 + 5y

Combine like terms: 5 + -7 = -2
-8 + 2y = -2 + 5y

Solving
-8 + 2y = -2 + 5y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-5y' to each side of the equation.
-8 + 2y + -5y = -2 + 5y + -5y

Combine like terms: 2y + -5y = -3y
-8 + -3y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-8 + -3y = -2 + 0
-8 + -3y = -2

Add '8' to each side of the equation.
-8 + 8 + -3y = -2 + 8

Combine like terms: -8 + 8 = 0
0 + -3y = -2 + 8
-3y = -2 + 8

Combine like terms: -2 + 8 = 6
-3y = 6

Divide each side by '-3'.
y = -2

Simplifying
y = -2

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