3(3y-1)-4=5y+1

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Solution for 3(3y-1)-4=5y+1 equation: 


Simplifying
3(3y + -1) + -4 = 5y + 1

Reorder the terms:
3(-1 + 3y) + -4 = 5y + 1
(-1 * 3 + 3y * 3) + -4 = 5y + 1
(-3 + 9y) + -4 = 5y + 1

Reorder the terms:
-3 + -4 + 9y = 5y + 1

Combine like terms: -3 + -4 = -7
-7 + 9y = 5y + 1

Reorder the terms:
-7 + 9y = 1 + 5y

Solving
-7 + 9y = 1 + 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.
-7 + 9y + -5y = 1 + 5y + -5y

Combine like terms: 9y + -5y = 4y
-7 + 4y = 1 + 5y + -5y

Combine like terms: 5y + -5y = 0
-7 + 4y = 1 + 0
-7 + 4y = 1

Add '7' to each side of the equation.
-7 + 7 + 4y = 1 + 7

Combine like terms: -7 + 7 = 0
0 + 4y = 1 + 7
4y = 1 + 7

Combine like terms: 1 + 7 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2

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