4y-6=2(y+9)

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Solution for 4y-6=2(y+9) equation:


Simplifying
4y + -6 = 2(y + 9)

Reorder the terms:
-6 + 4y = 2(y + 9)

Reorder the terms:
-6 + 4y = 2(9 + y)
-6 + 4y = (9 * 2 + y * 2)
-6 + 4y = (18 + 2y)

Solving
-6 + 4y = 18 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-6 + 4y + -2y = 18 + 2y + -2y

Combine like terms: 4y + -2y = 2y
-6 + 2y = 18 + 2y + -2y

Combine like terms: 2y + -2y = 0
-6 + 2y = 18 + 0
-6 + 2y = 18

Add '6' to each side of the equation.
-6 + 6 + 2y = 18 + 6

Combine like terms: -6 + 6 = 0
0 + 2y = 18 + 6
2y = 18 + 6

Combine like terms: 18 + 6 = 24
2y = 24

Divide each side by '2'.
y = 12

Simplifying
y = 12

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