2y-48=8(y-3)

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Solution for 2y-48=8(y-3) equation:


Simplifying
2y + -48 = 8(y + -3)

Reorder the terms:
-48 + 2y = 8(y + -3)

Reorder the terms:
-48 + 2y = 8(-3 + y)
-48 + 2y = (-3 * 8 + y * 8)
-48 + 2y = (-24 + 8y)

Solving
-48 + 2y = -24 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-48 + 2y + -8y = -24 + 8y + -8y

Combine like terms: 2y + -8y = -6y
-48 + -6y = -24 + 8y + -8y

Combine like terms: 8y + -8y = 0
-48 + -6y = -24 + 0
-48 + -6y = -24

Add '48' to each side of the equation.
-48 + 48 + -6y = -24 + 48

Combine like terms: -48 + 48 = 0
0 + -6y = -24 + 48
-6y = -24 + 48

Combine like terms: -24 + 48 = 24
-6y = 24

Divide each side by '-6'.
y = -4

Simplifying
y = -4

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