7y+4-2y+1=2y-7

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Solution for 7y+4-2y+1=2y-7 equation: 


Simplifying
7y + 4 + -2y + 1 = 2y + -7

Reorder the terms:
4 + 1 + 7y + -2y = 2y + -7

Combine like terms: 4 + 1 = 5
5 + 7y + -2y = 2y + -7

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

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

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

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

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

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

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

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

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

Simplifying
y = -4

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