5(y-1)=3y-13

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


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

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

Reorder the terms:
-5 + 5y = -13 + 3y

Solving
-5 + 5y = -13 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-5 + 5y + -3y = -13 + 3y + -3y

Combine like terms: 5y + -3y = 2y
-5 + 2y = -13 + 3y + -3y

Combine like terms: 3y + -3y = 0
-5 + 2y = -13 + 0
-5 + 2y = -13

Add '5' to each side of the equation.
-5 + 5 + 2y = -13 + 5

Combine like terms: -5 + 5 = 0
0 + 2y = -13 + 5
2y = -13 + 5

Combine like terms: -13 + 5 = -8
2y = -8

Divide each side by '2'.
y = -4

Simplifying
y = -4

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