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

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


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

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

Reorder the terms:
-4 + 13 + 12y = 5y + -2

Combine like terms: -4 + 13 = 9
9 + 12y = 5y + -2

Reorder the terms:
9 + 12y = -2 + 5y

Solving
9 + 12y = -2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
9 + 12y + -5y = -2 + 5y + -5y

Combine like terms: 12y + -5y = 7y
9 + 7y = -2 + 5y + -5y

Combine like terms: 5y + -5y = 0
9 + 7y = -2 + 0
9 + 7y = -2

Add '-9' to each side of the equation.
9 + -9 + 7y = -2 + -9

Combine like terms: 9 + -9 = 0
0 + 7y = -2 + -9
7y = -2 + -9

Combine like terms: -2 + -9 = -11
7y = -11

Divide each side by '7'.
y = -1.571428571

Simplifying
y = -1.571428571

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