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

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


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

Reorder the terms:
3(-2 + 3y) + 3 = 5y + 2
(-2 * 3 + 3y * 3) + 3 = 5y + 2
(-6 + 9y) + 3 = 5y + 2

Reorder the terms:
-6 + 3 + 9y = 5y + 2

Combine like terms: -6 + 3 = -3
-3 + 9y = 5y + 2

Reorder the terms:
-3 + 9y = 2 + 5y

Solving
-3 + 9y = 2 + 5y

Solving for variable 'y'.

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

Add '-5y' to each side of the equation.
-3 + 9y + -5y = 2 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-3 + 4y = 2 + 5y + -5y

Combine like terms: 5y + -5y = 0
-3 + 4y = 2 + 0
-3 + 4y = 2

Add '3' to each side of the equation.
-3 + 3 + 4y = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 4y = 2 + 3
4y = 2 + 3

Combine like terms: 2 + 3 = 5
4y = 5

Divide each side by '4'.
y = 1.25

Simplifying
y = 1.25

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