-4(y+3)-(8-y)=7

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Solution for -4(y+3)-(8-y)=7 equation: 


Simplifying
-4(y + 3) + -1(8 + -1y) = 7

Reorder the terms:
-4(3 + y) + -1(8 + -1y) = 7
(3 * -4 + y * -4) + -1(8 + -1y) = 7
(-12 + -4y) + -1(8 + -1y) = 7
-12 + -4y + (8 * -1 + -1y * -1) = 7
-12 + -4y + (-8 + 1y) = 7

Reorder the terms:
-12 + -8 + -4y + 1y = 7

Combine like terms: -12 + -8 = -20
-20 + -4y + 1y = 7

Combine like terms: -4y + 1y = -3y
-20 + -3y = 7

Solving
-20 + -3y = 7

Solving for variable 'y'.

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

Add '20' to each side of the equation.
-20 + 20 + -3y = 7 + 20

Combine like terms: -20 + 20 = 0
0 + -3y = 7 + 20
-3y = 7 + 20

Combine like terms: 7 + 20 = 27
-3y = 27

Divide each side by '-3'.
y = -9

Simplifying
y = -9

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