8y+2(y-8)=6(y+1)-3

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Solution for 8y+2(y-8)=6(y+1)-3 equation:


Simplifying
8y + 2(y + -8) = 6(y + 1) + -3

Reorder the terms:
8y + 2(-8 + y) = 6(y + 1) + -3
8y + (-8 * 2 + y * 2) = 6(y + 1) + -3
8y + (-16 + 2y) = 6(y + 1) + -3

Reorder the terms:
-16 + 8y + 2y = 6(y + 1) + -3

Combine like terms: 8y + 2y = 10y
-16 + 10y = 6(y + 1) + -3

Reorder the terms:
-16 + 10y = 6(1 + y) + -3
-16 + 10y = (1 * 6 + y * 6) + -3
-16 + 10y = (6 + 6y) + -3

Reorder the terms:
-16 + 10y = 6 + -3 + 6y

Combine like terms: 6 + -3 = 3
-16 + 10y = 3 + 6y

Solving
-16 + 10y = 3 + 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 + 10y + -6y = 3 + 6y + -6y

Combine like terms: 10y + -6y = 4y
-16 + 4y = 3 + 6y + -6y

Combine like terms: 6y + -6y = 0
-16 + 4y = 3 + 0
-16 + 4y = 3

Add '16' to each side of the equation.
-16 + 16 + 4y = 3 + 16

Combine like terms: -16 + 16 = 0
0 + 4y = 3 + 16
4y = 3 + 16

Combine like terms: 3 + 16 = 19
4y = 19

Divide each side by '4'.
y = 4.75

Simplifying
y = 4.75

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