-3(-7y+9)-2y=3(y-9)-4

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Solution for -3(-7y+9)-2y=3(y-9)-4 equation: 


Simplifying
-3(-7y + 9) + -2y = 3(y + -9) + -4

Reorder the terms:
-3(9 + -7y) + -2y = 3(y + -9) + -4
(9 * -3 + -7y * -3) + -2y = 3(y + -9) + -4
(-27 + 21y) + -2y = 3(y + -9) + -4

Combine like terms: 21y + -2y = 19y
-27 + 19y = 3(y + -9) + -4

Reorder the terms:
-27 + 19y = 3(-9 + y) + -4
-27 + 19y = (-9 * 3 + y * 3) + -4
-27 + 19y = (-27 + 3y) + -4

Reorder the terms:
-27 + 19y = -27 + -4 + 3y

Combine like terms: -27 + -4 = -31
-27 + 19y = -31 + 3y

Solving
-27 + 19y = -31 + 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.
-27 + 19y + -3y = -31 + 3y + -3y

Combine like terms: 19y + -3y = 16y
-27 + 16y = -31 + 3y + -3y

Combine like terms: 3y + -3y = 0
-27 + 16y = -31 + 0
-27 + 16y = -31

Add '27' to each side of the equation.
-27 + 27 + 16y = -31 + 27

Combine like terms: -27 + 27 = 0
0 + 16y = -31 + 27
16y = -31 + 27

Combine like terms: -31 + 27 = -4
16y = -4

Divide each side by '16'.
y = -0.25

Simplifying
y = -0.25

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