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

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


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

Reorder the terms:
3(-4 + y) = -7y + 48
(-4 * 3 + y * 3) = -7y + 48
(-12 + 3y) = -7y + 48

Reorder the terms:
-12 + 3y = 48 + -7y

Solving
-12 + 3y = 48 + -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.
-12 + 3y + 7y = 48 + -7y + 7y

Combine like terms: 3y + 7y = 10y
-12 + 10y = 48 + -7y + 7y

Combine like terms: -7y + 7y = 0
-12 + 10y = 48 + 0
-12 + 10y = 48

Add '12' to each side of the equation.
-12 + 12 + 10y = 48 + 12

Combine like terms: -12 + 12 = 0
0 + 10y = 48 + 12
10y = 48 + 12

Combine like terms: 48 + 12 = 60
10y = 60

Divide each side by '10'.
y = 6

Simplifying
y = 6

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