4(y+2)=-3(y-3)-29

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Solution for 4(y+2)=-3(y-3)-29 equation: 


Simplifying
4(y + 2) = -3(y + -3) + -29

Reorder the terms:
4(2 + y) = -3(y + -3) + -29
(2 * 4 + y * 4) = -3(y + -3) + -29
(8 + 4y) = -3(y + -3) + -29

Reorder the terms:
8 + 4y = -3(-3 + y) + -29
8 + 4y = (-3 * -3 + y * -3) + -29
8 + 4y = (9 + -3y) + -29

Reorder the terms:
8 + 4y = 9 + -29 + -3y

Combine like terms: 9 + -29 = -20
8 + 4y = -20 + -3y

Solving
8 + 4y = -20 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
8 + 4y + 3y = -20 + -3y + 3y

Combine like terms: 4y + 3y = 7y
8 + 7y = -20 + -3y + 3y

Combine like terms: -3y + 3y = 0
8 + 7y = -20 + 0
8 + 7y = -20

Add '-8' to each side of the equation.
8 + -8 + 7y = -20 + -8

Combine like terms: 8 + -8 = 0
0 + 7y = -20 + -8
7y = -20 + -8

Combine like terms: -20 + -8 = -28
7y = -28

Divide each side by '7'.
y = -4

Simplifying
y = -4

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