5(2y+5)=15-2(y-5)

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Solution for 5(2y+5)=15-2(y-5) equation:


Simplifying
5(2y + 5) = 15 + -2(y + -5)

Reorder the terms:
5(5 + 2y) = 15 + -2(y + -5)
(5 * 5 + 2y * 5) = 15 + -2(y + -5)
(25 + 10y) = 15 + -2(y + -5)

Reorder the terms:
25 + 10y = 15 + -2(-5 + y)
25 + 10y = 15 + (-5 * -2 + y * -2)
25 + 10y = 15 + (10 + -2y)

Combine like terms: 15 + 10 = 25
25 + 10y = 25 + -2y

Add '-25' to each side of the equation.
25 + -25 + 10y = 25 + -25 + -2y

Combine like terms: 25 + -25 = 0
0 + 10y = 25 + -25 + -2y
10y = 25 + -25 + -2y

Combine like terms: 25 + -25 = 0
10y = 0 + -2y
10y = -2y

Solving
10y = -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.
10y + 2y = -2y + 2y

Combine like terms: 10y + 2y = 12y
12y = -2y + 2y

Combine like terms: -2y + 2y = 0
12y = 0

Divide each side by '12'.
y = 0

Simplifying
y = 0

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