2y-5(y-3)=2(y-10)

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Solution for 2y-5(y-3)=2(y-10) equation:


Simplifying
2y + -5(y + -3) = 2(y + -10)

Reorder the terms:
2y + -5(-3 + y) = 2(y + -10)
2y + (-3 * -5 + y * -5) = 2(y + -10)
2y + (15 + -5y) = 2(y + -10)

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

Combine like terms: 2y + -5y = -3y
15 + -3y = 2(y + -10)

Reorder the terms:
15 + -3y = 2(-10 + y)
15 + -3y = (-10 * 2 + y * 2)
15 + -3y = (-20 + 2y)

Solving
15 + -3y = -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.
15 + -3y + -2y = -20 + 2y + -2y

Combine like terms: -3y + -2y = -5y
15 + -5y = -20 + 2y + -2y

Combine like terms: 2y + -2y = 0
15 + -5y = -20 + 0
15 + -5y = -20

Add '-15' to each side of the equation.
15 + -15 + -5y = -20 + -15

Combine like terms: 15 + -15 = 0
0 + -5y = -20 + -15
-5y = -20 + -15

Combine like terms: -20 + -15 = -35
-5y = -35

Divide each side by '-5'.
y = 7

Simplifying
y = 7

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