7-(4y-6)=1-5y

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Solution for 7-(4y-6)=1-5y equation: 


Simplifying
7 + -1(4y + -6) = 1 + -5y

Reorder the terms:
7 + -1(-6 + 4y) = 1 + -5y
7 + (-6 * -1 + 4y * -1) = 1 + -5y
7 + (6 + -4y) = 1 + -5y

Combine like terms: 7 + 6 = 13
13 + -4y = 1 + -5y

Solving
13 + -4y = 1 + -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.
13 + -4y + 5y = 1 + -5y + 5y

Combine like terms: -4y + 5y = 1y
13 + 1y = 1 + -5y + 5y

Combine like terms: -5y + 5y = 0
13 + 1y = 1 + 0
13 + 1y = 1

Add '-13' to each side of the equation.
13 + -13 + 1y = 1 + -13

Combine like terms: 13 + -13 = 0
0 + 1y = 1 + -13
1y = 1 + -13

Combine like terms: 1 + -13 = -12
1y = -12

Divide each side by '1'.
y = -12

Simplifying
y = -12

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