6y-(y-1)=17+y

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Solution for 6y-(y-1)=17+y equation:


Simplifying
6y + -1(y + -1) = 17 + y

Reorder the terms:
6y + -1(-1 + y) = 17 + y
6y + (-1 * -1 + y * -1) = 17 + y
6y + (1 + -1y) = 17 + y

Reorder the terms:
1 + 6y + -1y = 17 + y

Combine like terms: 6y + -1y = 5y
1 + 5y = 17 + y

Solving
1 + 5y = 17 + y

Solving for variable 'y'.

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

Add '-1y' to each side of the equation.
1 + 5y + -1y = 17 + y + -1y

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

Combine like terms: y + -1y = 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 = 16
4y = 16

Divide each side by '4'.
y = 4

Simplifying
y = 4

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