8(3y-2)=4(7y-1)

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Solution for 8(3y-2)=4(7y-1) equation:


Simplifying
8(3y + -2) = 4(7y + -1)

Reorder the terms:
8(-2 + 3y) = 4(7y + -1)
(-2 * 8 + 3y * 8) = 4(7y + -1)
(-16 + 24y) = 4(7y + -1)

Reorder the terms:
-16 + 24y = 4(-1 + 7y)
-16 + 24y = (-1 * 4 + 7y * 4)
-16 + 24y = (-4 + 28y)

Solving
-16 + 24y = -4 + 28y

Solving for variable 'y'.

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

Add '-28y' to each side of the equation.
-16 + 24y + -28y = -4 + 28y + -28y

Combine like terms: 24y + -28y = -4y
-16 + -4y = -4 + 28y + -28y

Combine like terms: 28y + -28y = 0
-16 + -4y = -4 + 0
-16 + -4y = -4

Add '16' to each side of the equation.
-16 + 16 + -4y = -4 + 16

Combine like terms: -16 + 16 = 0
0 + -4y = -4 + 16
-4y = -4 + 16

Combine like terms: -4 + 16 = 12
-4y = 12

Divide each side by '-4'.
y = -3

Simplifying
y = -3

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