2y+5=7y-15

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Solution for 2y+5=7y-15 equation: 


Simplifying
2y + 5 = 7y + -15

Reorder the terms:
5 + 2y = 7y + -15

Reorder the terms:
5 + 2y = -15 + 7y

Solving
5 + 2y = -15 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
5 + 2y + -7y = -15 + 7y + -7y

Combine like terms: 2y + -7y = -5y
5 + -5y = -15 + 7y + -7y

Combine like terms: 7y + -7y = 0
5 + -5y = -15 + 0
5 + -5y = -15

Add '-5' to each side of the equation.
5 + -5 + -5y = -15 + -5

Combine like terms: 5 + -5 = 0
0 + -5y = -15 + -5
-5y = -15 + -5

Combine like terms: -15 + -5 = -20
-5y = -20

Divide each side by '-5'.
y = 4

Simplifying
y = 4

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