8(y-1)-3=6(2y-6)

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Solution for 8(y-1)-3=6(2y-6) equation:


Simplifying
8(y + -1) + -3 = 6(2y + -6)

Reorder the terms:
8(-1 + y) + -3 = 6(2y + -6)
(-1 * 8 + y * 8) + -3 = 6(2y + -6)
(-8 + 8y) + -3 = 6(2y + -6)

Reorder the terms:
-8 + -3 + 8y = 6(2y + -6)

Combine like terms: -8 + -3 = -11
-11 + 8y = 6(2y + -6)

Reorder the terms:
-11 + 8y = 6(-6 + 2y)
-11 + 8y = (-6 * 6 + 2y * 6)
-11 + 8y = (-36 + 12y)

Solving
-11 + 8y = -36 + 12y

Solving for variable 'y'.

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

Add '-12y' to each side of the equation.
-11 + 8y + -12y = -36 + 12y + -12y

Combine like terms: 8y + -12y = -4y
-11 + -4y = -36 + 12y + -12y

Combine like terms: 12y + -12y = 0
-11 + -4y = -36 + 0
-11 + -4y = -36

Add '11' to each side of the equation.
-11 + 11 + -4y = -36 + 11

Combine like terms: -11 + 11 = 0
0 + -4y = -36 + 11
-4y = -36 + 11

Combine like terms: -36 + 11 = -25
-4y = -25

Divide each side by '-4'.
y = 6.25

Simplifying
y = 6.25

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