(5y-8)6=7(5y)

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Solution for (5y-8)6=7(5y) equation:


Simplifying
(5y + -8) * 6 = 7(5y)

Reorder the terms:
(-8 + 5y) * 6 = 7(5y)

Reorder the terms for easier multiplication:
6(-8 + 5y) = 7(5y)
(-8 * 6 + 5y * 6) = 7(5y)
(-48 + 30y) = 7(5y)

Remove parenthesis around (5y)
-48 + 30y = 7 * 5y

Multiply 7 * 5
-48 + 30y = 35y

Solving
-48 + 30y = 35y

Solving for variable 'y'.

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

Add '-35y' to each side of the equation.
-48 + 30y + -35y = 35y + -35y

Combine like terms: 30y + -35y = -5y
-48 + -5y = 35y + -35y

Combine like terms: 35y + -35y = 0
-48 + -5y = 0

Add '48' to each side of the equation.
-48 + 48 + -5y = 0 + 48

Combine like terms: -48 + 48 = 0
0 + -5y = 0 + 48
-5y = 0 + 48

Combine like terms: 0 + 48 = 48
-5y = 48

Divide each side by '-5'.
y = -9.6

Simplifying
y = -9.6

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