5y+2=3(y+4)

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Solution for 5y+2=3(y+4) equation: 


Simplifying
5y + 2 = 3(y + 4)

Reorder the terms:
2 + 5y = 3(y + 4)

Reorder the terms:
2 + 5y = 3(4 + y)
2 + 5y = (4 * 3 + y * 3)
2 + 5y = (12 + 3y)

Solving
2 + 5y = 12 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
2 + 5y + -3y = 12 + 3y + -3y

Combine like terms: 5y + -3y = 2y
2 + 2y = 12 + 3y + -3y

Combine like terms: 3y + -3y = 0
2 + 2y = 12 + 0
2 + 2y = 12

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

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

Combine like terms: 12 + -2 = 10
2y = 10

Divide each side by '2'.
y = 5

Simplifying
y = 5

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