4(3y+4)+13=5y+12

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Solution for 4(3y+4)+13=5y+12 equation:


Simplifying
4(3y + 4) + 13 = 5y + 12

Reorder the terms:
4(4 + 3y) + 13 = 5y + 12
(4 * 4 + 3y * 4) + 13 = 5y + 12
(16 + 12y) + 13 = 5y + 12

Reorder the terms:
16 + 13 + 12y = 5y + 12

Combine like terms: 16 + 13 = 29
29 + 12y = 5y + 12

Reorder the terms:
29 + 12y = 12 + 5y

Solving
29 + 12y = 12 + 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.
29 + 12y + -5y = 12 + 5y + -5y

Combine like terms: 12y + -5y = 7y
29 + 7y = 12 + 5y + -5y

Combine like terms: 5y + -5y = 0
29 + 7y = 12 + 0
29 + 7y = 12

Add '-29' to each side of the equation.
29 + -29 + 7y = 12 + -29

Combine like terms: 29 + -29 = 0
0 + 7y = 12 + -29
7y = 12 + -29

Combine like terms: 12 + -29 = -17
7y = -17

Divide each side by '7'.
y = -2.428571429

Simplifying
y = -2.428571429

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