5(3y-1)+2=-3y+6

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Solution for 5(3y-1)+2=-3y+6 equation:


Simplifying
5(3y + -1) + 2 = -3y + 6

Reorder the terms:
5(-1 + 3y) + 2 = -3y + 6
(-1 * 5 + 3y * 5) + 2 = -3y + 6
(-5 + 15y) + 2 = -3y + 6

Reorder the terms:
-5 + 2 + 15y = -3y + 6

Combine like terms: -5 + 2 = -3
-3 + 15y = -3y + 6

Reorder the terms:
-3 + 15y = 6 + -3y

Solving
-3 + 15y = 6 + -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.
-3 + 15y + 3y = 6 + -3y + 3y

Combine like terms: 15y + 3y = 18y
-3 + 18y = 6 + -3y + 3y

Combine like terms: -3y + 3y = 0
-3 + 18y = 6 + 0
-3 + 18y = 6

Add '3' to each side of the equation.
-3 + 3 + 18y = 6 + 3

Combine like terms: -3 + 3 = 0
0 + 18y = 6 + 3
18y = 6 + 3

Combine like terms: 6 + 3 = 9
18y = 9

Divide each side by '18'.
y = 0.5

Simplifying
y = 0.5

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