3(y+4)=2y+13

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Solution for 3(y+4)=2y+13 equation:


Simplifying
3(y + 4) = 2y + 13

Reorder the terms:
3(4 + y) = 2y + 13
(4 * 3 + y * 3) = 2y + 13
(12 + 3y) = 2y + 13

Reorder the terms:
12 + 3y = 13 + 2y

Solving
12 + 3y = 13 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
12 + 3y + -2y = 13 + 2y + -2y

Combine like terms: 3y + -2y = 1y
12 + 1y = 13 + 2y + -2y

Combine like terms: 2y + -2y = 0
12 + 1y = 13 + 0
12 + 1y = 13

Add '-12' to each side of the equation.
12 + -12 + 1y = 13 + -12

Combine like terms: 12 + -12 = 0
0 + 1y = 13 + -12
1y = 13 + -12

Combine like terms: 13 + -12 = 1
1y = 1

Divide each side by '1'.
y = 1

Simplifying
y = 1

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