4y+5=6(y+3)-y

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Solution for 4y+5=6(y+3)-y equation:


Simplifying
4y + 5 = 6(y + 3) + -1y

Reorder the terms:
5 + 4y = 6(y + 3) + -1y

Reorder the terms:
5 + 4y = 6(3 + y) + -1y
5 + 4y = (3 * 6 + y * 6) + -1y
5 + 4y = (18 + 6y) + -1y

Combine like terms: 6y + -1y = 5y
5 + 4y = 18 + 5y

Solving
5 + 4y = 18 + 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.
5 + 4y + -5y = 18 + 5y + -5y

Combine like terms: 4y + -5y = -1y
5 + -1y = 18 + 5y + -5y

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

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

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

Combine like terms: 18 + -5 = 13
-1y = 13

Divide each side by '-1'.
y = -13

Simplifying
y = -13

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