4(y+9)=-7y-8

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Solution for 4(y+9)=-7y-8 equation: 


Simplifying
4(y + 9) = -7y + -8

Reorder the terms:
4(9 + y) = -7y + -8
(9 * 4 + y * 4) = -7y + -8
(36 + 4y) = -7y + -8

Reorder the terms:
36 + 4y = -8 + -7y

Solving
36 + 4y = -8 + -7y

Solving for variable 'y'.

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

Add '7y' to each side of the equation.
36 + 4y + 7y = -8 + -7y + 7y

Combine like terms: 4y + 7y = 11y
36 + 11y = -8 + -7y + 7y

Combine like terms: -7y + 7y = 0
36 + 11y = -8 + 0
36 + 11y = -8

Add '-36' to each side of the equation.
36 + -36 + 11y = -8 + -36

Combine like terms: 36 + -36 = 0
0 + 11y = -8 + -36
11y = -8 + -36

Combine like terms: -8 + -36 = -44
11y = -44

Divide each side by '11'.
y = -4

Simplifying
y = -4

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