7(y-8)=6(y-7)

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Solution for 7(y-8)=6(y-7) equation:


Simplifying
7(y + -8) = 6(y + -7)

Reorder the terms:
7(-8 + y) = 6(y + -7)
(-8 * 7 + y * 7) = 6(y + -7)
(-56 + 7y) = 6(y + -7)

Reorder the terms:
-56 + 7y = 6(-7 + y)
-56 + 7y = (-7 * 6 + y * 6)
-56 + 7y = (-42 + 6y)

Solving
-56 + 7y = -42 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-56 + 7y + -6y = -42 + 6y + -6y

Combine like terms: 7y + -6y = 1y
-56 + 1y = -42 + 6y + -6y

Combine like terms: 6y + -6y = 0
-56 + 1y = -42 + 0
-56 + 1y = -42

Add '56' to each side of the equation.
-56 + 56 + 1y = -42 + 56

Combine like terms: -56 + 56 = 0
0 + 1y = -42 + 56
1y = -42 + 56

Combine like terms: -42 + 56 = 14
1y = 14

Divide each side by '1'.
y = 14

Simplifying
y = 14

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