-5(6y-10)-y=-2(y-2)

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Solution for -5(6y-10)-y=-2(y-2) equation:


Simplifying
-5(6y + -10) + -1y = -2(y + -2)

Reorder the terms:
-5(-10 + 6y) + -1y = -2(y + -2)
(-10 * -5 + 6y * -5) + -1y = -2(y + -2)
(50 + -30y) + -1y = -2(y + -2)

Combine like terms: -30y + -1y = -31y
50 + -31y = -2(y + -2)

Reorder the terms:
50 + -31y = -2(-2 + y)
50 + -31y = (-2 * -2 + y * -2)
50 + -31y = (4 + -2y)

Solving
50 + -31y = 4 + -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.
50 + -31y + 2y = 4 + -2y + 2y

Combine like terms: -31y + 2y = -29y
50 + -29y = 4 + -2y + 2y

Combine like terms: -2y + 2y = 0
50 + -29y = 4 + 0
50 + -29y = 4

Add '-50' to each side of the equation.
50 + -50 + -29y = 4 + -50

Combine like terms: 50 + -50 = 0
0 + -29y = 4 + -50
-29y = 4 + -50

Combine like terms: 4 + -50 = -46
-29y = -46

Divide each side by '-29'.
y = 1.586206897

Simplifying
y = 1.586206897

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