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

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


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

Reorder the terms:
5(-2 + 3y) = (4y + 4) + 2y
(-2 * 5 + 3y * 5) = (4y + 4) + 2y
(-10 + 15y) = (4y + 4) + 2y

Reorder the terms:
-10 + 15y = (4 + 4y) + 2y

Remove parenthesis around (4 + 4y)
-10 + 15y = 4 + 4y + 2y

Combine like terms: 4y + 2y = 6y
-10 + 15y = 4 + 6y

Solving
-10 + 15y = 4 + 6y

Solving for variable 'y'.

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

Add '-6y' to each side of the equation.
-10 + 15y + -6y = 4 + 6y + -6y

Combine like terms: 15y + -6y = 9y
-10 + 9y = 4 + 6y + -6y

Combine like terms: 6y + -6y = 0
-10 + 9y = 4 + 0
-10 + 9y = 4

Add '10' to each side of the equation.
-10 + 10 + 9y = 4 + 10

Combine like terms: -10 + 10 = 0
0 + 9y = 4 + 10
9y = 4 + 10

Combine like terms: 4 + 10 = 14
9y = 14

Divide each side by '9'.
y = 1.555555556

Simplifying
y = 1.555555556

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