-5(2y-3)=-4(1-3y)+12

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Solution for -5(2y-3)=-4(1-3y)+12 equation:


Simplifying
-5(2y + -3) = -4(1 + -3y) + 12

Reorder the terms:
-5(-3 + 2y) = -4(1 + -3y) + 12
(-3 * -5 + 2y * -5) = -4(1 + -3y) + 12
(15 + -10y) = -4(1 + -3y) + 12
15 + -10y = (1 * -4 + -3y * -4) + 12
15 + -10y = (-4 + 12y) + 12

Reorder the terms:
15 + -10y = -4 + 12 + 12y

Combine like terms: -4 + 12 = 8
15 + -10y = 8 + 12y

Solving
15 + -10y = 8 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
15 + -10y + -12y = 8 + 12y + -12y

Combine like terms: -10y + -12y = -22y
15 + -22y = 8 + 12y + -12y

Combine like terms: 12y + -12y = 0
15 + -22y = 8 + 0
15 + -22y = 8

Add '-15' to each side of the equation.
15 + -15 + -22y = 8 + -15

Combine like terms: 15 + -15 = 0
0 + -22y = 8 + -15
-22y = 8 + -15

Combine like terms: 8 + -15 = -7
-22y = -7

Divide each side by '-22'.
y = 0.3181818182

Simplifying
y = 0.3181818182

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