1-y=3y+1(y+3)

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


Simplifying
1 + -1y = 3y + 1(y + 3)

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

Reorder the terms:
1 + -1y = 3 + 3y + 1y

Combine like terms: 3y + 1y = 4y
1 + -1y = 3 + 4y

Solving
1 + -1y = 3 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
1 + -1y + -4y = 3 + 4y + -4y

Combine like terms: -1y + -4y = -5y
1 + -5y = 3 + 4y + -4y

Combine like terms: 4y + -4y = 0
1 + -5y = 3 + 0
1 + -5y = 3

Add '-1' to each side of the equation.
1 + -1 + -5y = 3 + -1

Combine like terms: 1 + -1 = 0
0 + -5y = 3 + -1
-5y = 3 + -1

Combine like terms: 3 + -1 = 2
-5y = 2

Divide each side by '-5'.
y = -0.4

Simplifying
y = -0.4

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