16-7y=9(2-y)+3y

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Solution for 16-7y=9(2-y)+3y equation:


Simplifying
16 + -7y = 9(2 + -1y) + 3y
16 + -7y = (2 * 9 + -1y * 9) + 3y
16 + -7y = (18 + -9y) + 3y

Combine like terms: -9y + 3y = -6y
16 + -7y = 18 + -6y

Solving
16 + -7y = 18 + -6y

Solving for variable 'y'.

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

Add '6y' to each side of the equation.
16 + -7y + 6y = 18 + -6y + 6y

Combine like terms: -7y + 6y = -1y
16 + -1y = 18 + -6y + 6y

Combine like terms: -6y + 6y = 0
16 + -1y = 18 + 0
16 + -1y = 18

Add '-16' to each side of the equation.
16 + -16 + -1y = 18 + -16

Combine like terms: 16 + -16 = 0
0 + -1y = 18 + -16
-1y = 18 + -16

Combine like terms: 18 + -16 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2

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