2y-(3+5y)=y+(y-9)

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Solution for 2y-(3+5y)=y+(y-9) equation:


Simplifying
2y + -1(3 + 5y) = y + (y + -9)
2y + (3 * -1 + 5y * -1) = y + (y + -9)
2y + (-3 + -5y) = y + (y + -9)

Reorder the terms:
-3 + 2y + -5y = y + (y + -9)

Combine like terms: 2y + -5y = -3y
-3 + -3y = y + (y + -9)

Reorder the terms:
-3 + -3y = y + (-9 + y)

Remove parenthesis around (-9 + y)
-3 + -3y = y + -9 + y

Reorder the terms:
-3 + -3y = -9 + y + y

Combine like terms: y + y = 2y
-3 + -3y = -9 + 2y

Solving
-3 + -3y = -9 + 2y

Solving for variable 'y'.

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

Add '-2y' to each side of the equation.
-3 + -3y + -2y = -9 + 2y + -2y

Combine like terms: -3y + -2y = -5y
-3 + -5y = -9 + 2y + -2y

Combine like terms: 2y + -2y = 0
-3 + -5y = -9 + 0
-3 + -5y = -9

Add '3' to each side of the equation.
-3 + 3 + -5y = -9 + 3

Combine like terms: -3 + 3 = 0
0 + -5y = -9 + 3
-5y = -9 + 3

Combine like terms: -9 + 3 = -6
-5y = -6

Divide each side by '-5'.
y = 1.2

Simplifying
y = 1.2

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