-5(2y-3)=3(1-4y)+13

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Solution for -5(2y-3)=3(1-4y)+13 equation: 


Simplifying
-5(2y + -3) = 3(1 + -4y) + 13

Reorder the terms:
-5(-3 + 2y) = 3(1 + -4y) + 13
(-3 * -5 + 2y * -5) = 3(1 + -4y) + 13
(15 + -10y) = 3(1 + -4y) + 13
15 + -10y = (1 * 3 + -4y * 3) + 13
15 + -10y = (3 + -12y) + 13

Reorder the terms:
15 + -10y = 3 + 13 + -12y

Combine like terms: 3 + 13 = 16
15 + -10y = 16 + -12y

Solving
15 + -10y = 16 + -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 = 16 + -12y + 12y

Combine like terms: -10y + 12y = 2y
15 + 2y = 16 + -12y + 12y

Combine like terms: -12y + 12y = 0
15 + 2y = 16 + 0
15 + 2y = 16

Add '-15' to each side of the equation.
15 + -15 + 2y = 16 + -15

Combine like terms: 15 + -15 = 0
0 + 2y = 16 + -15
2y = 16 + -15

Combine like terms: 16 + -15 = 1
2y = 1

Divide each side by '2'.
y = 0.5

Simplifying
y = 0.5

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