5(y+4)-3=4y+12

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Solution for 5(y+4)-3=4y+12 equation:


Simplifying
5(y + 4) + -3 = 4y + 12

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

Reorder the terms:
20 + -3 + 5y = 4y + 12

Combine like terms: 20 + -3 = 17
17 + 5y = 4y + 12

Reorder the terms:
17 + 5y = 12 + 4y

Solving
17 + 5y = 12 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
17 + 5y + -4y = 12 + 4y + -4y

Combine like terms: 5y + -4y = 1y
17 + 1y = 12 + 4y + -4y

Combine like terms: 4y + -4y = 0
17 + 1y = 12 + 0
17 + 1y = 12

Add '-17' to each side of the equation.
17 + -17 + 1y = 12 + -17

Combine like terms: 17 + -17 = 0
0 + 1y = 12 + -17
1y = 12 + -17

Combine like terms: 12 + -17 = -5
1y = -5

Divide each side by '1'.
y = -5

Simplifying
y = -5

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