2(4+3y)=3(y+1)+11

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Solution for 2(4+3y)=3(y+1)+11 equation: 


Simplifying
2(4 + 3y) = 3(y + 1) + 11
(4 * 2 + 3y * 2) = 3(y + 1) + 11
(8 + 6y) = 3(y + 1) + 11

Reorder the terms:
8 + 6y = 3(1 + y) + 11
8 + 6y = (1 * 3 + y * 3) + 11
8 + 6y = (3 + 3y) + 11

Reorder the terms:
8 + 6y = 3 + 11 + 3y

Combine like terms: 3 + 11 = 14
8 + 6y = 14 + 3y

Solving
8 + 6y = 14 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
8 + 6y + -3y = 14 + 3y + -3y

Combine like terms: 6y + -3y = 3y
8 + 3y = 14 + 3y + -3y

Combine like terms: 3y + -3y = 0
8 + 3y = 14 + 0
8 + 3y = 14

Add '-8' to each side of the equation.
8 + -8 + 3y = 14 + -8

Combine like terms: 8 + -8 = 0
0 + 3y = 14 + -8
3y = 14 + -8

Combine like terms: 14 + -8 = 6
3y = 6

Divide each side by '3'.
y = 2

Simplifying
y = 2

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