7y-(5y-2)=4(y+8)-14

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Solution for 7y-(5y-2)=4(y+8)-14 equation: 


Simplifying
7y + -1(5y + -2) = 4(y + 8) + -14

Reorder the terms:
7y + -1(-2 + 5y) = 4(y + 8) + -14
7y + (-2 * -1 + 5y * -1) = 4(y + 8) + -14
7y + (2 + -5y) = 4(y + 8) + -14

Reorder the terms:
2 + 7y + -5y = 4(y + 8) + -14

Combine like terms: 7y + -5y = 2y
2 + 2y = 4(y + 8) + -14

Reorder the terms:
2 + 2y = 4(8 + y) + -14
2 + 2y = (8 * 4 + y * 4) + -14
2 + 2y = (32 + 4y) + -14

Reorder the terms:
2 + 2y = 32 + -14 + 4y

Combine like terms: 32 + -14 = 18
2 + 2y = 18 + 4y

Solving
2 + 2y = 18 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
2 + 2y + -4y = 18 + 4y + -4y

Combine like terms: 2y + -4y = -2y
2 + -2y = 18 + 4y + -4y

Combine like terms: 4y + -4y = 0
2 + -2y = 18 + 0
2 + -2y = 18

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

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

Combine like terms: 18 + -2 = 16
-2y = 16

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

Simplifying
y = -8

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