7(y-8)+24=c(y-6)

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Solution for 7(y-8)+24=c(y-6) equation:


Simplifying
7(y + -8) + 24 = c(y + -6)

Reorder the terms:
7(-8 + y) + 24 = c(y + -6)
(-8 * 7 + y * 7) + 24 = c(y + -6)
(-56 + 7y) + 24 = c(y + -6)

Reorder the terms:
-56 + 24 + 7y = c(y + -6)

Combine like terms: -56 + 24 = -32
-32 + 7y = c(y + -6)

Reorder the terms:
-32 + 7y = c(-6 + y)
-32 + 7y = (-6 * c + y * c)
-32 + 7y = (-6c + cy)

Solving
-32 + 7y = -6c + cy

Solving for variable 'y'.

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

Add '-1cy' to each side of the equation.
-32 + -1cy + 7y = -6c + cy + -1cy

Combine like terms: cy + -1cy = 0
-32 + -1cy + 7y = -6c + 0
-32 + -1cy + 7y = -6c

Add '32' to each side of the equation.
-32 + -1cy + 32 + 7y = 32 + -6c

Reorder the terms:
-32 + 32 + -1cy + 7y = 32 + -6c

Combine like terms: -32 + 32 = 0
0 + -1cy + 7y = 32 + -6c
-1cy + 7y = 32 + -6c

Reorder the terms:
-32 + 6c + -1cy + 7y = 32 + -6c + -32 + 6c

Reorder the terms:
-32 + 6c + -1cy + 7y = 32 + -32 + -6c + 6c

Combine like terms: 32 + -32 = 0
-32 + 6c + -1cy + 7y = 0 + -6c + 6c
-32 + 6c + -1cy + 7y = -6c + 6c

Combine like terms: -6c + 6c = 0
-32 + 6c + -1cy + 7y = 0

The solution to this equation could not be determined.

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