-3y+2y+6=-2y+5-3y+16

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Solution for -3y+2y+6=-2y+5-3y+16 equation:


Simplifying
-3y + 2y + 6 = -2y + 5 + -3y + 16

Reorder the terms:
6 + -3y + 2y = -2y + 5 + -3y + 16

Combine like terms: -3y + 2y = -1y
6 + -1y = -2y + 5 + -3y + 16

Reorder the terms:
6 + -1y = 5 + 16 + -2y + -3y

Combine like terms: 5 + 16 = 21
6 + -1y = 21 + -2y + -3y

Combine like terms: -2y + -3y = -5y
6 + -1y = 21 + -5y

Solving
6 + -1y = 21 + -5y

Solving for variable 'y'.

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

Add '5y' to each side of the equation.
6 + -1y + 5y = 21 + -5y + 5y

Combine like terms: -1y + 5y = 4y
6 + 4y = 21 + -5y + 5y

Combine like terms: -5y + 5y = 0
6 + 4y = 21 + 0
6 + 4y = 21

Add '-6' to each side of the equation.
6 + -6 + 4y = 21 + -6

Combine like terms: 6 + -6 = 0
0 + 4y = 21 + -6
4y = 21 + -6

Combine like terms: 21 + -6 = 15
4y = 15

Divide each side by '4'.
y = 3.75

Simplifying
y = 3.75

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