6(y-8)=7(y-3)

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Solution for 6(y-8)=7(y-3) equation:


Simplifying
6(y + -8) = 7(y + -3)

Reorder the terms:
6(-8 + y) = 7(y + -3)
(-8 * 6 + y * 6) = 7(y + -3)
(-48 + 6y) = 7(y + -3)

Reorder the terms:
-48 + 6y = 7(-3 + y)
-48 + 6y = (-3 * 7 + y * 7)
-48 + 6y = (-21 + 7y)

Solving
-48 + 6y = -21 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-48 + 6y + -7y = -21 + 7y + -7y

Combine like terms: 6y + -7y = -1y
-48 + -1y = -21 + 7y + -7y

Combine like terms: 7y + -7y = 0
-48 + -1y = -21 + 0
-48 + -1y = -21

Add '48' to each side of the equation.
-48 + 48 + -1y = -21 + 48

Combine like terms: -48 + 48 = 0
0 + -1y = -21 + 48
-1y = -21 + 48

Combine like terms: -21 + 48 = 27
-1y = 27

Divide each side by '-1'.
y = -27

Simplifying
y = -27

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