3(6-11y)=2(2y+4)

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Solution for 3(6-11y)=2(2y+4) equation:


Simplifying
3(6 + -11y) = 2(2y + 4)
(6 * 3 + -11y * 3) = 2(2y + 4)
(18 + -33y) = 2(2y + 4)

Reorder the terms:
18 + -33y = 2(4 + 2y)
18 + -33y = (4 * 2 + 2y * 2)
18 + -33y = (8 + 4y)

Solving
18 + -33y = 8 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
18 + -33y + -4y = 8 + 4y + -4y

Combine like terms: -33y + -4y = -37y
18 + -37y = 8 + 4y + -4y

Combine like terms: 4y + -4y = 0
18 + -37y = 8 + 0
18 + -37y = 8

Add '-18' to each side of the equation.
18 + -18 + -37y = 8 + -18

Combine like terms: 18 + -18 = 0
0 + -37y = 8 + -18
-37y = 8 + -18

Combine like terms: 8 + -18 = -10
-37y = -10

Divide each side by '-37'.
y = 0.2702702703

Simplifying
y = 0.2702702703

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