5-3y+4y-6=8y+11-3y+6

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Solution for 5-3y+4y-6=8y+11-3y+6 equation:


Simplifying
5 + -3y + 4y + -6 = 8y + 11 + -3y + 6

Reorder the terms:
5 + -6 + -3y + 4y = 8y + 11 + -3y + 6

Combine like terms: 5 + -6 = -1
-1 + -3y + 4y = 8y + 11 + -3y + 6

Combine like terms: -3y + 4y = 1y
-1 + 1y = 8y + 11 + -3y + 6

Reorder the terms:
-1 + 1y = 11 + 6 + 8y + -3y

Combine like terms: 11 + 6 = 17
-1 + 1y = 17 + 8y + -3y

Combine like terms: 8y + -3y = 5y
-1 + 1y = 17 + 5y

Solving
-1 + 1y = 17 + 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.
-1 + 1y + -5y = 17 + 5y + -5y

Combine like terms: 1y + -5y = -4y
-1 + -4y = 17 + 5y + -5y

Combine like terms: 5y + -5y = 0
-1 + -4y = 17 + 0
-1 + -4y = 17

Add '1' to each side of the equation.
-1 + 1 + -4y = 17 + 1

Combine like terms: -1 + 1 = 0
0 + -4y = 17 + 1
-4y = 17 + 1

Combine like terms: 17 + 1 = 18
-4y = 18

Divide each side by '-4'.
y = -4.5

Simplifying
y = -4.5

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