7y+15-6y+3=5y-4-2y-6

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Solution for 7y+15-6y+3=5y-4-2y-6 equation: 


Simplifying
7y + 15 + -6y + 3 = 5y + -4 + -2y + -6

Reorder the terms:
15 + 3 + 7y + -6y = 5y + -4 + -2y + -6

Combine like terms: 15 + 3 = 18
18 + 7y + -6y = 5y + -4 + -2y + -6

Combine like terms: 7y + -6y = 1y
18 + 1y = 5y + -4 + -2y + -6

Reorder the terms:
18 + 1y = -4 + -6 + 5y + -2y

Combine like terms: -4 + -6 = -10
18 + 1y = -10 + 5y + -2y

Combine like terms: 5y + -2y = 3y
18 + 1y = -10 + 3y

Solving
18 + 1y = -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.
18 + 1y + -3y = -10 + 3y + -3y

Combine like terms: 1y + -3y = -2y
18 + -2y = -10 + 3y + -3y

Combine like terms: 3y + -3y = 0
18 + -2y = -10 + 0
18 + -2y = -10

Add '-18' to each side of the equation.
18 + -18 + -2y = -10 + -18

Combine like terms: 18 + -18 = 0
0 + -2y = -10 + -18
-2y = -10 + -18

Combine like terms: -10 + -18 = -28
-2y = -28

Divide each side by '-2'.
y = 14

Simplifying
y = 14

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