2(2+3(y+1))=22

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Solution for 2(2+3(y+1))=22 equation:


Simplifying
2(2 + 3(y + 1)) = 22

Reorder the terms:
2(2 + 3(1 + y)) = 22
2(2 + (1 * 3 + y * 3)) = 22
2(2 + (3 + 3y)) = 22

Combine like terms: 2 + 3 = 5
2(5 + 3y) = 22
(5 * 2 + 3y * 2) = 22
(10 + 6y) = 22

Solving
10 + 6y = 22

Solving for variable 'y'.

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

Add '-10' to each side of the equation.
10 + -10 + 6y = 22 + -10

Combine like terms: 10 + -10 = 0
0 + 6y = 22 + -10
6y = 22 + -10

Combine like terms: 22 + -10 = 12
6y = 12

Divide each side by '6'.
y = 2

Simplifying
y = 2

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