-1-(8y-2)=5(2y-7)

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Solution for -1-(8y-2)=5(2y-7) equation:


Simplifying
-1 + -1(8y + -2) = 5(2y + -7)

Reorder the terms:
-1 + -1(-2 + 8y) = 5(2y + -7)
-1 + (-2 * -1 + 8y * -1) = 5(2y + -7)
-1 + (2 + -8y) = 5(2y + -7)

Combine like terms: -1 + 2 = 1
1 + -8y = 5(2y + -7)

Reorder the terms:
1 + -8y = 5(-7 + 2y)
1 + -8y = (-7 * 5 + 2y * 5)
1 + -8y = (-35 + 10y)

Solving
1 + -8y = -35 + 10y

Solving for variable 'y'.

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

Add '-10y' to each side of the equation.
1 + -8y + -10y = -35 + 10y + -10y

Combine like terms: -8y + -10y = -18y
1 + -18y = -35 + 10y + -10y

Combine like terms: 10y + -10y = 0
1 + -18y = -35 + 0
1 + -18y = -35

Add '-1' to each side of the equation.
1 + -1 + -18y = -35 + -1

Combine like terms: 1 + -1 = 0
0 + -18y = -35 + -1
-18y = -35 + -1

Combine like terms: -35 + -1 = -36
-18y = -36

Divide each side by '-18'.
y = 2

Simplifying
y = 2

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