7y+2-5y=14+3y-4

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Solution for 7y+2-5y=14+3y-4 equation: 


Simplifying
7y + 2 + -5y = 14 + 3y + -4

Reorder the terms:
2 + 7y + -5y = 14 + 3y + -4

Combine like terms: 7y + -5y = 2y
2 + 2y = 14 + 3y + -4

Reorder the terms:
2 + 2y = 14 + -4 + 3y

Combine like terms: 14 + -4 = 10
2 + 2y = 10 + 3y

Solving
2 + 2y = 10 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2 + 2y + -3y = 10 + 3y + -3y

Combine like terms: 2y + -3y = -1y
2 + -1y = 10 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + -1y = 10 + 0
2 + -1y = 10

Add '-2' to each side of the equation.
2 + -2 + -1y = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 10 + -2
-1y = 10 + -2

Combine like terms: 10 + -2 = 8
-1y = 8

Divide each side by '-1'.
y = -8

Simplifying
y = -8

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