3(y+4)=2(y+10)

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Solution for 3(y+4)=2(y+10) equation: 


Simplifying
3(y + 4) = 2(y + 10)

Reorder the terms:
3(4 + y) = 2(y + 10)
(4 * 3 + y * 3) = 2(y + 10)
(12 + 3y) = 2(y + 10)

Reorder the terms:
12 + 3y = 2(10 + y)
12 + 3y = (10 * 2 + y * 2)
12 + 3y = (20 + 2y)

Solving
12 + 3y = 20 + 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 = 20 + 2y + -2y

Combine like terms: 3y + -2y = 1y
12 + 1y = 20 + 2y + -2y

Combine like terms: 2y + -2y = 0
12 + 1y = 20 + 0
12 + 1y = 20

Add '-12' to each side of the equation.
12 + -12 + 1y = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 1y = 20 + -12
1y = 20 + -12

Combine like terms: 20 + -12 = 8
1y = 8

Divide each side by '1'.
y = 8

Simplifying
y = 8

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