2y+13(y-1)=13y-8

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Solution for 2y+13(y-1)=13y-8 equation:


Simplifying
2y + 13(y + -1) = 13y + -8

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

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

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

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

Solving
-13 + 15y = -8 + 13y

Solving for variable 'y'.

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

Add '-13y' to each side of the equation.
-13 + 15y + -13y = -8 + 13y + -13y

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

Combine like terms: 13y + -13y = 0
-13 + 2y = -8 + 0
-13 + 2y = -8

Add '13' to each side of the equation.
-13 + 13 + 2y = -8 + 13

Combine like terms: -13 + 13 = 0
0 + 2y = -8 + 13
2y = -8 + 13

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

Divide each side by '2'.
y = 2.5

Simplifying
y = 2.5

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