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

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


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

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

Combine like terms: 10y + -3y = 7y
-15 + 7y = -2(4y + -1) + -13

Reorder the terms:
-15 + 7y = -2(-1 + 4y) + -13
-15 + 7y = (-1 * -2 + 4y * -2) + -13
-15 + 7y = (2 + -8y) + -13

Reorder the terms:
-15 + 7y = 2 + -13 + -8y

Combine like terms: 2 + -13 = -11
-15 + 7y = -11 + -8y

Solving
-15 + 7y = -11 + -8y

Solving for variable 'y'.

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

Add '8y' to each side of the equation.
-15 + 7y + 8y = -11 + -8y + 8y

Combine like terms: 7y + 8y = 15y
-15 + 15y = -11 + -8y + 8y

Combine like terms: -8y + 8y = 0
-15 + 15y = -11 + 0
-15 + 15y = -11

Add '15' to each side of the equation.
-15 + 15 + 15y = -11 + 15

Combine like terms: -15 + 15 = 0
0 + 15y = -11 + 15
15y = -11 + 15

Combine like terms: -11 + 15 = 4
15y = 4

Divide each side by '15'.
y = 0.2666666667

Simplifying
y = 0.2666666667

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