-2(5y-7)+y=5(y+2)

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


Simplifying
-2(5y + -7) + y = 5(y + 2)

Reorder the terms:
-2(-7 + 5y) + y = 5(y + 2)
(-7 * -2 + 5y * -2) + y = 5(y + 2)
(14 + -10y) + y = 5(y + 2)

Combine like terms: -10y + y = -9y
14 + -9y = 5(y + 2)

Reorder the terms:
14 + -9y = 5(2 + y)
14 + -9y = (2 * 5 + y * 5)
14 + -9y = (10 + 5y)

Solving
14 + -9y = 10 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
14 + -9y + -5y = 10 + 5y + -5y

Combine like terms: -9y + -5y = -14y
14 + -14y = 10 + 5y + -5y

Combine like terms: 5y + -5y = 0
14 + -14y = 10 + 0
14 + -14y = 10

Add '-14' to each side of the equation.
14 + -14 + -14y = 10 + -14

Combine like terms: 14 + -14 = 0
0 + -14y = 10 + -14
-14y = 10 + -14

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

Divide each side by '-14'.
y = 0.2857142857

Simplifying
y = 0.2857142857

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