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

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Solution for 6(y+3)-2=3y+4y equation:


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

Reorder the terms:
6(3 + y) + -2 = 3y + 4y
(3 * 6 + y * 6) + -2 = 3y + 4y
(18 + 6y) + -2 = 3y + 4y

Reorder the terms:
18 + -2 + 6y = 3y + 4y

Combine like terms: 18 + -2 = 16
16 + 6y = 3y + 4y

Combine like terms: 3y + 4y = 7y
16 + 6y = 7y

Solving
16 + 6y = 7y

Solving for variable 'y'.

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

Add '-7y' to each side of the equation.
16 + 6y + -7y = 7y + -7y

Combine like terms: 6y + -7y = -1y
16 + -1y = 7y + -7y

Combine like terms: 7y + -7y = 0
16 + -1y = 0

Add '-16' to each side of the equation.
16 + -16 + -1y = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = 0 + -16
-1y = 0 + -16

Combine like terms: 0 + -16 = -16
-1y = -16

Divide each side by '-1'.
y = 16

Simplifying
y = 16

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