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

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Solution for 3(2y+1)-9=4(6y-5)-3 equation:


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

Reorder the terms:
3(1 + 2y) + -9 = 4(6y + -5) + -3
(1 * 3 + 2y * 3) + -9 = 4(6y + -5) + -3
(3 + 6y) + -9 = 4(6y + -5) + -3

Reorder the terms:
3 + -9 + 6y = 4(6y + -5) + -3

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

Reorder the terms:
-6 + 6y = 4(-5 + 6y) + -3
-6 + 6y = (-5 * 4 + 6y * 4) + -3
-6 + 6y = (-20 + 24y) + -3

Reorder the terms:
-6 + 6y = -20 + -3 + 24y

Combine like terms: -20 + -3 = -23
-6 + 6y = -23 + 24y

Solving
-6 + 6y = -23 + 24y

Solving for variable 'y'.

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

Add '-24y' to each side of the equation.
-6 + 6y + -24y = -23 + 24y + -24y

Combine like terms: 6y + -24y = -18y
-6 + -18y = -23 + 24y + -24y

Combine like terms: 24y + -24y = 0
-6 + -18y = -23 + 0
-6 + -18y = -23

Add '6' to each side of the equation.
-6 + 6 + -18y = -23 + 6

Combine like terms: -6 + 6 = 0
0 + -18y = -23 + 6
-18y = -23 + 6

Combine like terms: -23 + 6 = -17
-18y = -17

Divide each side by '-18'.
y = 0.9444444444

Simplifying
y = 0.9444444444

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