5y-(3y-1)=y-7

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Solution for 5y-(3y-1)=y-7 equation:


Simplifying
5y + -1(3y + -1) = y + -7

Reorder the terms:
5y + -1(-1 + 3y) = y + -7
5y + (-1 * -1 + 3y * -1) = y + -7
5y + (1 + -3y) = y + -7

Reorder the terms:
1 + 5y + -3y = y + -7

Combine like terms: 5y + -3y = 2y
1 + 2y = y + -7

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

Solving
1 + 2y = -7 + y

Solving for variable 'y'.

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

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

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

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

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

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

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

Divide each side by '1'.
y = -8

Simplifying
y = -8

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