5y+7=2y-5

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


Simplifying
5y + 7 = 2y + -5

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

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

Solving
7 + 5y = -5 + 2y

Solving for variable 'y'.

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

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

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

Combine like terms: 2y + -2y = 0
7 + 3y = -5 + 0
7 + 3y = -5

Add '-7' to each side of the equation.
7 + -7 + 3y = -5 + -7

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

Combine like terms: -5 + -7 = -12
3y = -12

Divide each side by '3'.
y = -4

Simplifying
y = -4

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