5(y-2)=-2(13-9y)+y

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Solution for 5(y-2)=-2(13-9y)+y equation: 


Simplifying
5(y + -2) = -2(13 + -9y) + y

Reorder the terms:
5(-2 + y) = -2(13 + -9y) + y
(-2 * 5 + y * 5) = -2(13 + -9y) + y
(-10 + 5y) = -2(13 + -9y) + y
-10 + 5y = (13 * -2 + -9y * -2) + y
-10 + 5y = (-26 + 18y) + y

Combine like terms: 18y + y = 19y
-10 + 5y = -26 + 19y

Solving
-10 + 5y = -26 + 19y

Solving for variable 'y'.

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

Add '-19y' to each side of the equation.
-10 + 5y + -19y = -26 + 19y + -19y

Combine like terms: 5y + -19y = -14y
-10 + -14y = -26 + 19y + -19y

Combine like terms: 19y + -19y = 0
-10 + -14y = -26 + 0
-10 + -14y = -26

Add '10' to each side of the equation.
-10 + 10 + -14y = -26 + 10

Combine like terms: -10 + 10 = 0
0 + -14y = -26 + 10
-14y = -26 + 10

Combine like terms: -26 + 10 = -16
-14y = -16

Divide each side by '-14'.
y = 1.142857143

Simplifying
y = 1.142857143

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