4y-1*(y+3)=2*(1+y)

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Solution for 4y-1*(y+3)=2*(1+y) equation:


Simplifying
4y + -1(y + 3) = 2(1 + y)

Reorder the terms:
4y + -1(3 + y) = 2(1 + y)
4y + (3 * -1 + y * -1) = 2(1 + y)
4y + (-3 + -1y) = 2(1 + y)

Reorder the terms:
-3 + 4y + -1y = 2(1 + y)

Combine like terms: 4y + -1y = 3y
-3 + 3y = 2(1 + y)
-3 + 3y = (1 * 2 + y * 2)
-3 + 3y = (2 + 2y)

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

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

Combine like terms: 2y + -2y = 0
-3 + 1y = 2 + 0
-3 + 1y = 2

Add '3' to each side of the equation.
-3 + 3 + 1y = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 1y = 2 + 3
1y = 2 + 3

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

Divide each side by '1'.
y = 5

Simplifying
y = 5

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