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

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


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

Reorder the terms:
-4(4 + y) = 3(y + 4) + 7
(4 * -4 + y * -4) = 3(y + 4) + 7
(-16 + -4y) = 3(y + 4) + 7

Reorder the terms:
-16 + -4y = 3(4 + y) + 7
-16 + -4y = (4 * 3 + y * 3) + 7
-16 + -4y = (12 + 3y) + 7

Reorder the terms:
-16 + -4y = 12 + 7 + 3y

Combine like terms: 12 + 7 = 19
-16 + -4y = 19 + 3y

Solving
-16 + -4y = 19 + 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.
-16 + -4y + -3y = 19 + 3y + -3y

Combine like terms: -4y + -3y = -7y
-16 + -7y = 19 + 3y + -3y

Combine like terms: 3y + -3y = 0
-16 + -7y = 19 + 0
-16 + -7y = 19

Add '16' to each side of the equation.
-16 + 16 + -7y = 19 + 16

Combine like terms: -16 + 16 = 0
0 + -7y = 19 + 16
-7y = 19 + 16

Combine like terms: 19 + 16 = 35
-7y = 35

Divide each side by '-7'.
y = -5

Simplifying
y = -5

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