-6(-5y+4)-9y=3(y-4)-3

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Solution for -6(-5y+4)-9y=3(y-4)-3 equation:


Simplifying
-6(-5y + 4) + -9y = 3(y + -4) + -3

Reorder the terms:
-6(4 + -5y) + -9y = 3(y + -4) + -3
(4 * -6 + -5y * -6) + -9y = 3(y + -4) + -3
(-24 + 30y) + -9y = 3(y + -4) + -3

Combine like terms: 30y + -9y = 21y
-24 + 21y = 3(y + -4) + -3

Reorder the terms:
-24 + 21y = 3(-4 + y) + -3
-24 + 21y = (-4 * 3 + y * 3) + -3
-24 + 21y = (-12 + 3y) + -3

Reorder the terms:
-24 + 21y = -12 + -3 + 3y

Combine like terms: -12 + -3 = -15
-24 + 21y = -15 + 3y

Solving
-24 + 21y = -15 + 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.
-24 + 21y + -3y = -15 + 3y + -3y

Combine like terms: 21y + -3y = 18y
-24 + 18y = -15 + 3y + -3y

Combine like terms: 3y + -3y = 0
-24 + 18y = -15 + 0
-24 + 18y = -15

Add '24' to each side of the equation.
-24 + 24 + 18y = -15 + 24

Combine like terms: -24 + 24 = 0
0 + 18y = -15 + 24
18y = -15 + 24

Combine like terms: -15 + 24 = 9
18y = 9

Divide each side by '18'.
y = 0.5

Simplifying
y = 0.5

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