13y-2(y+4)=8y+1

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Solution for 13y-2(y+4)=8y+1 equation:


Simplifying
13y + -2(y + 4) = 8y + 1

Reorder the terms:
13y + -2(4 + y) = 8y + 1
13y + (4 * -2 + y * -2) = 8y + 1
13y + (-8 + -2y) = 8y + 1

Reorder the terms:
-8 + 13y + -2y = 8y + 1

Combine like terms: 13y + -2y = 11y
-8 + 11y = 8y + 1

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

Solving
-8 + 11y = 1 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
-8 + 11y + -8y = 1 + 8y + -8y

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

Combine like terms: 8y + -8y = 0
-8 + 3y = 1 + 0
-8 + 3y = 1

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

Combine like terms: -8 + 8 = 0
0 + 3y = 1 + 8
3y = 1 + 8

Combine like terms: 1 + 8 = 9
3y = 9

Divide each side by '3'.
y = 3

Simplifying
y = 3

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