3(3-y)+5y=4(2y+1)+6

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Solution for 3(3-y)+5y=4(2y+1)+6 equation: 


Simplifying
3(3 + -1y) + 5y = 4(2y + 1) + 6
(3 * 3 + -1y * 3) + 5y = 4(2y + 1) + 6
(9 + -3y) + 5y = 4(2y + 1) + 6

Combine like terms: -3y + 5y = 2y
9 + 2y = 4(2y + 1) + 6

Reorder the terms:
9 + 2y = 4(1 + 2y) + 6
9 + 2y = (1 * 4 + 2y * 4) + 6
9 + 2y = (4 + 8y) + 6

Reorder the terms:
9 + 2y = 4 + 6 + 8y

Combine like terms: 4 + 6 = 10
9 + 2y = 10 + 8y

Solving
9 + 2y = 10 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
9 + 2y + -8y = 10 + 8y + -8y

Combine like terms: 2y + -8y = -6y
9 + -6y = 10 + 8y + -8y

Combine like terms: 8y + -8y = 0
9 + -6y = 10 + 0
9 + -6y = 10

Add '-9' to each side of the equation.
9 + -9 + -6y = 10 + -9

Combine like terms: 9 + -9 = 0
0 + -6y = 10 + -9
-6y = 10 + -9

Combine like terms: 10 + -9 = 1
-6y = 1

Divide each side by '-6'.
y = -0.1666666667

Simplifying
y = -0.1666666667

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