5(3y-3)=3(3y+7)-4

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Solution for 5(3y-3)=3(3y+7)-4 equation:


Simplifying
5(3y + -3) = 3(3y + 7) + -4

Reorder the terms:
5(-3 + 3y) = 3(3y + 7) + -4
(-3 * 5 + 3y * 5) = 3(3y + 7) + -4
(-15 + 15y) = 3(3y + 7) + -4

Reorder the terms:
-15 + 15y = 3(7 + 3y) + -4
-15 + 15y = (7 * 3 + 3y * 3) + -4
-15 + 15y = (21 + 9y) + -4

Reorder the terms:
-15 + 15y = 21 + -4 + 9y

Combine like terms: 21 + -4 = 17
-15 + 15y = 17 + 9y

Solving
-15 + 15y = 17 + 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 + 15y + -9y = 17 + 9y + -9y

Combine like terms: 15y + -9y = 6y
-15 + 6y = 17 + 9y + -9y

Combine like terms: 9y + -9y = 0
-15 + 6y = 17 + 0
-15 + 6y = 17

Add '15' to each side of the equation.
-15 + 15 + 6y = 17 + 15

Combine like terms: -15 + 15 = 0
0 + 6y = 17 + 15
6y = 17 + 15

Combine like terms: 17 + 15 = 32
6y = 32

Divide each side by '6'.
y = 5.333333333

Simplifying
y = 5.333333333

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