6y+2(y-9)=3(y+1)-2

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Solution for 6y+2(y-9)=3(y+1)-2 equation:


Simplifying
6y + 2(y + -9) = 3(y + 1) + -2

Reorder the terms:
6y + 2(-9 + y) = 3(y + 1) + -2
6y + (-9 * 2 + y * 2) = 3(y + 1) + -2
6y + (-18 + 2y) = 3(y + 1) + -2

Reorder the terms:
-18 + 6y + 2y = 3(y + 1) + -2

Combine like terms: 6y + 2y = 8y
-18 + 8y = 3(y + 1) + -2

Reorder the terms:
-18 + 8y = 3(1 + y) + -2
-18 + 8y = (1 * 3 + y * 3) + -2
-18 + 8y = (3 + 3y) + -2

Reorder the terms:
-18 + 8y = 3 + -2 + 3y

Combine like terms: 3 + -2 = 1
-18 + 8y = 1 + 3y

Solving
-18 + 8y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-18 + 8y + -3y = 1 + 3y + -3y

Combine like terms: 8y + -3y = 5y
-18 + 5y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-18 + 5y = 1 + 0
-18 + 5y = 1

Add '18' to each side of the equation.
-18 + 18 + 5y = 1 + 18

Combine like terms: -18 + 18 = 0
0 + 5y = 1 + 18
5y = 1 + 18

Combine like terms: 1 + 18 = 19
5y = 19

Divide each side by '5'.
y = 3.8

Simplifying
y = 3.8

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