4(3y+5)=5y+48

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Solution for 4(3y+5)=5y+48 equation:


Simplifying
4(3y + 5) = 5y + 48

Reorder the terms:
4(5 + 3y) = 5y + 48
(5 * 4 + 3y * 4) = 5y + 48
(20 + 12y) = 5y + 48

Reorder the terms:
20 + 12y = 48 + 5y

Solving
20 + 12y = 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.
20 + 12y + -5y = 48 + 5y + -5y

Combine like terms: 12y + -5y = 7y
20 + 7y = 48 + 5y + -5y

Combine like terms: 5y + -5y = 0
20 + 7y = 48 + 0
20 + 7y = 48

Add '-20' to each side of the equation.
20 + -20 + 7y = 48 + -20

Combine like terms: 20 + -20 = 0
0 + 7y = 48 + -20
7y = 48 + -20

Combine like terms: 48 + -20 = 28
7y = 28

Divide each side by '7'.
y = 4

Simplifying
y = 4

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