8-2(3-4y)=7y-1

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Solution for 8-2(3-4y)=7y-1 equation: 


Simplifying
8 + -2(3 + -4y) = 7y + -1
8 + (3 * -2 + -4y * -2) = 7y + -1
8 + (-6 + 8y) = 7y + -1

Combine like terms: 8 + -6 = 2
2 + 8y = 7y + -1

Reorder the terms:
2 + 8y = -1 + 7y

Solving
2 + 8y = -1 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
2 + 8y + -7y = -1 + 7y + -7y

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

Combine like terms: 7y + -7y = 0
2 + 1y = -1 + 0
2 + 1y = -1

Add '-2' to each side of the equation.
2 + -2 + 1y = -1 + -2

Combine like terms: 2 + -2 = 0
0 + 1y = -1 + -2
1y = -1 + -2

Combine like terms: -1 + -2 = -3
1y = -3

Divide each side by '1'.
y = -3

Simplifying
y = -3

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