3y-48=-7(y+4)

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Solution for 3y-48=-7(y+4) equation:


Simplifying
3y + -48 = -7(y + 4)

Reorder the terms:
-48 + 3y = -7(y + 4)

Reorder the terms:
-48 + 3y = -7(4 + y)
-48 + 3y = (4 * -7 + y * -7)
-48 + 3y = (-28 + -7y)

Solving
-48 + 3y = -28 + -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 + 3y + 7y = -28 + -7y + 7y

Combine like terms: 3y + 7y = 10y
-48 + 10y = -28 + -7y + 7y

Combine like terms: -7y + 7y = 0
-48 + 10y = -28 + 0
-48 + 10y = -28

Add '48' to each side of the equation.
-48 + 48 + 10y = -28 + 48

Combine like terms: -48 + 48 = 0
0 + 10y = -28 + 48
10y = -28 + 48

Combine like terms: -28 + 48 = 20
10y = 20

Divide each side by '10'.
y = 2

Simplifying
y = 2

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