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

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


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

Reorder the terms:
4(5 + 2y) = 10 + -2(y + -5)
(5 * 4 + 2y * 4) = 10 + -2(y + -5)
(20 + 8y) = 10 + -2(y + -5)

Reorder the terms:
20 + 8y = 10 + -2(-5 + y)
20 + 8y = 10 + (-5 * -2 + y * -2)
20 + 8y = 10 + (10 + -2y)

Combine like terms: 10 + 10 = 20
20 + 8y = 20 + -2y

Add '-20' to each side of the equation.
20 + -20 + 8y = 20 + -20 + -2y

Combine like terms: 20 + -20 = 0
0 + 8y = 20 + -20 + -2y
8y = 20 + -20 + -2y

Combine like terms: 20 + -20 = 0
8y = 0 + -2y
8y = -2y

Solving
8y = -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.
8y + 2y = -2y + 2y

Combine like terms: 8y + 2y = 10y
10y = -2y + 2y

Combine like terms: -2y + 2y = 0
10y = 0

Divide each side by '10'.
y = 0.0

Simplifying
y = 0.0

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