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

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


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

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

Reorder the terms:
15 + 3y = 3(-1 + 3y)
15 + 3y = (-1 * 3 + 3y * 3)
15 + 3y = (-3 + 9y)

Solving
15 + 3y = -3 + 9y

Solving for variable 'y'.

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

Add '-9y' to each side of the equation.
15 + 3y + -9y = -3 + 9y + -9y

Combine like terms: 3y + -9y = -6y
15 + -6y = -3 + 9y + -9y

Combine like terms: 9y + -9y = 0
15 + -6y = -3 + 0
15 + -6y = -3

Add '-15' to each side of the equation.
15 + -15 + -6y = -3 + -15

Combine like terms: 15 + -15 = 0
0 + -6y = -3 + -15
-6y = -3 + -15

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

Divide each side by '-6'.
y = 3

Simplifying
y = 3

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