2y+7=5y+13

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Solution for 2y+7=5y+13 equation: 


Simplifying
2y + 7 = 5y + 13

Reorder the terms:
7 + 2y = 5y + 13

Reorder the terms:
7 + 2y = 13 + 5y

Solving
7 + 2y = 13 + 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.
7 + 2y + -5y = 13 + 5y + -5y

Combine like terms: 2y + -5y = -3y
7 + -3y = 13 + 5y + -5y

Combine like terms: 5y + -5y = 0
7 + -3y = 13 + 0
7 + -3y = 13

Add '-7' to each side of the equation.
7 + -7 + -3y = 13 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = 13 + -7
-3y = 13 + -7

Combine like terms: 13 + -7 = 6
-3y = 6

Divide each side by '-3'.
y = -2

Simplifying
y = -2

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