-2(5y-1)-y=4(y-3)

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Solution for -2(5y-1)-y=4(y-3) equation:


Simplifying
-2(5y + -1) + -1y = 4(y + -3)

Reorder the terms:
-2(-1 + 5y) + -1y = 4(y + -3)
(-1 * -2 + 5y * -2) + -1y = 4(y + -3)
(2 + -10y) + -1y = 4(y + -3)

Combine like terms: -10y + -1y = -11y
2 + -11y = 4(y + -3)

Reorder the terms:
2 + -11y = 4(-3 + y)
2 + -11y = (-3 * 4 + y * 4)
2 + -11y = (-12 + 4y)

Solving
2 + -11y = -12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
2 + -11y + -4y = -12 + 4y + -4y

Combine like terms: -11y + -4y = -15y
2 + -15y = -12 + 4y + -4y

Combine like terms: 4y + -4y = 0
2 + -15y = -12 + 0
2 + -15y = -12

Add '-2' to each side of the equation.
2 + -2 + -15y = -12 + -2

Combine like terms: 2 + -2 = 0
0 + -15y = -12 + -2
-15y = -12 + -2

Combine like terms: -12 + -2 = -14
-15y = -14

Divide each side by '-15'.
y = 0.9333333333

Simplifying
y = 0.9333333333

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