5(4-y)=2(-10+y)

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Solution for 5(4-y)=2(-10+y) equation:


Simplifying
5(4 + -1y) = 2(-10 + y)
(4 * 5 + -1y * 5) = 2(-10 + y)
(20 + -5y) = 2(-10 + y)
20 + -5y = (-10 * 2 + y * 2)
20 + -5y = (-20 + 2y)

Solving
20 + -5y = -20 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
20 + -5y + -2y = -20 + 2y + -2y

Combine like terms: -5y + -2y = -7y
20 + -7y = -20 + 2y + -2y

Combine like terms: 2y + -2y = 0
20 + -7y = -20 + 0
20 + -7y = -20

Add '-20' to each side of the equation.
20 + -20 + -7y = -20 + -20

Combine like terms: 20 + -20 = 0
0 + -7y = -20 + -20
-7y = -20 + -20

Combine like terms: -20 + -20 = -40
-7y = -40

Divide each side by '-7'.
y = 5.714285714

Simplifying
y = 5.714285714

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