2(y+3)+4(y-2)=22

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Solution for 2(y+3)+4(y-2)=22 equation: 


Simplifying
2(y + 3) + 4(y + -2) = 22

Reorder the terms:
2(3 + y) + 4(y + -2) = 22
(3 * 2 + y * 2) + 4(y + -2) = 22
(6 + 2y) + 4(y + -2) = 22

Reorder the terms:
6 + 2y + 4(-2 + y) = 22
6 + 2y + (-2 * 4 + y * 4) = 22
6 + 2y + (-8 + 4y) = 22

Reorder the terms:
6 + -8 + 2y + 4y = 22

Combine like terms: 6 + -8 = -2
-2 + 2y + 4y = 22

Combine like terms: 2y + 4y = 6y
-2 + 6y = 22

Solving
-2 + 6y = 22

Solving for variable 'y'.

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

Add '2' to each side of the equation.
-2 + 2 + 6y = 22 + 2

Combine like terms: -2 + 2 = 0
0 + 6y = 22 + 2
6y = 22 + 2

Combine like terms: 22 + 2 = 24
6y = 24

Divide each side by '6'.
y = 4

Simplifying
y = 4

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