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

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


Simplifying
-2(5y + -10) + -1y = -2(y + -3)

Reorder the terms:
-2(-10 + 5y) + -1y = -2(y + -3)
(-10 * -2 + 5y * -2) + -1y = -2(y + -3)
(20 + -10y) + -1y = -2(y + -3)

Combine like terms: -10y + -1y = -11y
20 + -11y = -2(y + -3)

Reorder the terms:
20 + -11y = -2(-3 + y)
20 + -11y = (-3 * -2 + y * -2)
20 + -11y = (6 + -2y)

Solving
20 + -11y = 6 + -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 + -11y + 2y = 6 + -2y + 2y

Combine like terms: -11y + 2y = -9y
20 + -9y = 6 + -2y + 2y

Combine like terms: -2y + 2y = 0
20 + -9y = 6 + 0
20 + -9y = 6

Add '-20' to each side of the equation.
20 + -20 + -9y = 6 + -20

Combine like terms: 20 + -20 = 0
0 + -9y = 6 + -20
-9y = 6 + -20

Combine like terms: 6 + -20 = -14
-9y = -14

Divide each side by '-9'.
y = 1.555555556

Simplifying
y = 1.555555556

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