-6(y-3)=5y-48

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Solution for -6(y-3)=5y-48 equation:


Simplifying
-6(y + -3) = 5y + -48

Reorder the terms:
-6(-3 + y) = 5y + -48
(-3 * -6 + y * -6) = 5y + -48
(18 + -6y) = 5y + -48

Reorder the terms:
18 + -6y = -48 + 5y

Solving
18 + -6y = -48 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
18 + -6y + -5y = -48 + 5y + -5y

Combine like terms: -6y + -5y = -11y
18 + -11y = -48 + 5y + -5y

Combine like terms: 5y + -5y = 0
18 + -11y = -48 + 0
18 + -11y = -48

Add '-18' to each side of the equation.
18 + -18 + -11y = -48 + -18

Combine like terms: 18 + -18 = 0
0 + -11y = -48 + -18
-11y = -48 + -18

Combine like terms: -48 + -18 = -66
-11y = -66

Divide each side by '-11'.
y = 6

Simplifying
y = 6

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