6y-2(y+3)=22

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Solution for 6y-2(y+3)=22 equation:


Simplifying
6y + -2(y + 3) = 22

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

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

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

Solving
-6 + 4y = 22

Solving for variable 'y'.

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

Add '6' to each side of the equation.
-6 + 6 + 4y = 22 + 6

Combine like terms: -6 + 6 = 0
0 + 4y = 22 + 6
4y = 22 + 6

Combine like terms: 22 + 6 = 28
4y = 28

Divide each side by '4'.
y = 7

Simplifying
y = 7

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