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

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


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

Reorder the terms:
-3(-5 + 2y) = 3(1 + -3y) + 13
(-5 * -3 + 2y * -3) = 3(1 + -3y) + 13
(15 + -6y) = 3(1 + -3y) + 13
15 + -6y = (1 * 3 + -3y * 3) + 13
15 + -6y = (3 + -9y) + 13

Reorder the terms:
15 + -6y = 3 + 13 + -9y

Combine like terms: 3 + 13 = 16
15 + -6y = 16 + -9y

Solving
15 + -6y = 16 + -9y

Solving for variable 'y'.

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

Add '9y' to each side of the equation.
15 + -6y + 9y = 16 + -9y + 9y

Combine like terms: -6y + 9y = 3y
15 + 3y = 16 + -9y + 9y

Combine like terms: -9y + 9y = 0
15 + 3y = 16 + 0
15 + 3y = 16

Add '-15' to each side of the equation.
15 + -15 + 3y = 16 + -15

Combine like terms: 15 + -15 = 0
0 + 3y = 16 + -15
3y = 16 + -15

Combine like terms: 16 + -15 = 1
3y = 1

Divide each side by '3'.
y = 0.3333333333

Simplifying
y = 0.3333333333

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