7(y-18)=8(y-14)

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Solution for 7(y-18)=8(y-14) equation:


Simplifying
7(y + -18) = 8(y + -14)

Reorder the terms:
7(-18 + y) = 8(y + -14)
(-18 * 7 + y * 7) = 8(y + -14)
(-126 + 7y) = 8(y + -14)

Reorder the terms:
-126 + 7y = 8(-14 + y)
-126 + 7y = (-14 * 8 + y * 8)
-126 + 7y = (-112 + 8y)

Solving
-126 + 7y = -112 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-126 + 7y + -8y = -112 + 8y + -8y

Combine like terms: 7y + -8y = -1y
-126 + -1y = -112 + 8y + -8y

Combine like terms: 8y + -8y = 0
-126 + -1y = -112 + 0
-126 + -1y = -112

Add '126' to each side of the equation.
-126 + 126 + -1y = -112 + 126

Combine like terms: -126 + 126 = 0
0 + -1y = -112 + 126
-1y = -112 + 126

Combine like terms: -112 + 126 = 14
-1y = 14

Divide each side by '-1'.
y = -14

Simplifying
y = -14

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