7-(4y-1)=2-5y

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Solution for 7-(4y-1)=2-5y equation: 


Simplifying
7 + -1(4y + -1) = 2 + -5y

Reorder the terms:
7 + -1(-1 + 4y) = 2 + -5y
7 + (-1 * -1 + 4y * -1) = 2 + -5y
7 + (1 + -4y) = 2 + -5y

Combine like terms: 7 + 1 = 8
8 + -4y = 2 + -5y

Solving
8 + -4y = 2 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
8 + -4y + 5y = 2 + -5y + 5y

Combine like terms: -4y + 5y = 1y
8 + 1y = 2 + -5y + 5y

Combine like terms: -5y + 5y = 0
8 + 1y = 2 + 0
8 + 1y = 2

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

Combine like terms: 8 + -8 = 0
0 + 1y = 2 + -8
1y = 2 + -8

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

Divide each side by '1'.
y = -6

Simplifying
y = -6

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