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

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


Simplifying
3(2y + 11) = 4(4y + 2)

Reorder the terms:
3(11 + 2y) = 4(4y + 2)
(11 * 3 + 2y * 3) = 4(4y + 2)
(33 + 6y) = 4(4y + 2)

Reorder the terms:
33 + 6y = 4(2 + 4y)
33 + 6y = (2 * 4 + 4y * 4)
33 + 6y = (8 + 16y)

Solving
33 + 6y = 8 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
33 + 6y + -16y = 8 + 16y + -16y

Combine like terms: 6y + -16y = -10y
33 + -10y = 8 + 16y + -16y

Combine like terms: 16y + -16y = 0
33 + -10y = 8 + 0
33 + -10y = 8

Add '-33' to each side of the equation.
33 + -33 + -10y = 8 + -33

Combine like terms: 33 + -33 = 0
0 + -10y = 8 + -33
-10y = 8 + -33

Combine like terms: 8 + -33 = -25
-10y = -25

Divide each side by '-10'.
y = 2.5

Simplifying
y = 2.5

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