2y-48=7(y-9)

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Solution for 2y-48=7(y-9) equation:


Simplifying
2y + -48 = 7(y + -9)

Reorder the terms:
-48 + 2y = 7(y + -9)

Reorder the terms:
-48 + 2y = 7(-9 + y)
-48 + 2y = (-9 * 7 + y * 7)
-48 + 2y = (-63 + 7y)

Solving
-48 + 2y = -63 + 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
-48 + 2y + -7y = -63 + 7y + -7y

Combine like terms: 2y + -7y = -5y
-48 + -5y = -63 + 7y + -7y

Combine like terms: 7y + -7y = 0
-48 + -5y = -63 + 0
-48 + -5y = -63

Add '48' to each side of the equation.
-48 + 48 + -5y = -63 + 48

Combine like terms: -48 + 48 = 0
0 + -5y = -63 + 48
-5y = -63 + 48

Combine like terms: -63 + 48 = -15
-5y = -15

Divide each side by '-5'.
y = 3

Simplifying
y = 3

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