7y+4-5y=6+y-7

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Solution for 7y+4-5y=6+y-7 equation: 


Simplifying
7y + 4 + -5y = 6 + y + -7

Reorder the terms:
4 + 7y + -5y = 6 + y + -7

Combine like terms: 7y + -5y = 2y
4 + 2y = 6 + y + -7

Reorder the terms:
4 + 2y = 6 + -7 + y

Combine like terms: 6 + -7 = -1
4 + 2y = -1 + y

Solving
4 + 2y = -1 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
4 + 2y + -1y = -1 + y + -1y

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

Combine like terms: y + -1y = 0
4 + 1y = -1 + 0
4 + 1y = -1

Add '-4' to each side of the equation.
4 + -4 + 1y = -1 + -4

Combine like terms: 4 + -4 = 0
0 + 1y = -1 + -4
1y = -1 + -4

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

Divide each side by '1'.
y = -5

Simplifying
y = -5

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