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

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


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

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

Combine like terms: 7 + 7 = 14
14 + -4y = 6 + -5y

Solving
14 + -4y = 6 + -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.
14 + -4y + 5y = 6 + -5y + 5y

Combine like terms: -4y + 5y = 1y
14 + 1y = 6 + -5y + 5y

Combine like terms: -5y + 5y = 0
14 + 1y = 6 + 0
14 + 1y = 6

Add '-14' to each side of the equation.
14 + -14 + 1y = 6 + -14

Combine like terms: 14 + -14 = 0
0 + 1y = 6 + -14
1y = 6 + -14

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

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

Simplifying
y = -8

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