6-2(y-4)=1-7y

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Solution for 6-2(y-4)=1-7y equation:


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

Reorder the terms:
6 + -2(-4 + y) = 1 + -7y
6 + (-4 * -2 + y * -2) = 1 + -7y
6 + (8 + -2y) = 1 + -7y

Combine like terms: 6 + 8 = 14
14 + -2y = 1 + -7y

Solving
14 + -2y = 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.
14 + -2y + 7y = 1 + -7y + 7y

Combine like terms: -2y + 7y = 5y
14 + 5y = 1 + -7y + 7y

Combine like terms: -7y + 7y = 0
14 + 5y = 1 + 0
14 + 5y = 1

Add '-14' to each side of the equation.
14 + -14 + 5y = 1 + -14

Combine like terms: 14 + -14 = 0
0 + 5y = 1 + -14
5y = 1 + -14

Combine like terms: 1 + -14 = -13
5y = -13

Divide each side by '5'.
y = -2.6

Simplifying
y = -2.6

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