(7y+3)+(5y+6)=14y-7

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Solution for (7y+3)+(5y+6)=14y-7 equation:


Simplifying
(7y + 3) + (5y + 6) = 14y + -7

Reorder the terms:
(3 + 7y) + (5y + 6) = 14y + -7

Remove parenthesis around (3 + 7y)
3 + 7y + (5y + 6) = 14y + -7

Reorder the terms:
3 + 7y + (6 + 5y) = 14y + -7

Remove parenthesis around (6 + 5y)
3 + 7y + 6 + 5y = 14y + -7

Reorder the terms:
3 + 6 + 7y + 5y = 14y + -7

Combine like terms: 3 + 6 = 9
9 + 7y + 5y = 14y + -7

Combine like terms: 7y + 5y = 12y
9 + 12y = 14y + -7

Reorder the terms:
9 + 12y = -7 + 14y

Solving
9 + 12y = -7 + 14y

Solving for variable 'y'.

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

Add '-14y' to each side of the equation.
9 + 12y + -14y = -7 + 14y + -14y

Combine like terms: 12y + -14y = -2y
9 + -2y = -7 + 14y + -14y

Combine like terms: 14y + -14y = 0
9 + -2y = -7 + 0
9 + -2y = -7

Add '-9' to each side of the equation.
9 + -9 + -2y = -7 + -9

Combine like terms: 9 + -9 = 0
0 + -2y = -7 + -9
-2y = -7 + -9

Combine like terms: -7 + -9 = -16
-2y = -16

Divide each side by '-2'.
y = 8

Simplifying
y = 8

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