6y-5(1+2y)=3+2(1-y)

Solution for 6y-5(1+2y)=3+2(1-y) equation:

Simplifying
6y + -5(1 + 2y) = 3 + 2(1 + -1y)
6y + (1 * -5 + 2y * -5) = 3 + 2(1 + -1y)
6y + (-5 + -10y) = 3 + 2(1 + -1y)

Reorder the terms:
-5 + 6y + -10y = 3 + 2(1 + -1y)

Combine like terms: 6y + -10y = -4y
-5 + -4y = 3 + 2(1 + -1y)
-5 + -4y = 3 + (1 * 2 + -1y * 2)
-5 + -4y = 3 + (2 + -2y)

Combine like terms: 3 + 2 = 5
-5 + -4y = 5 + -2y

Solving
-5 + -4y = 5 + -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.
-5 + -4y + 2y = 5 + -2y + 2y

Combine like terms: -4y + 2y = -2y
-5 + -2y = 5 + -2y + 2y

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

Add '5' to each side of the equation.
-5 + 5 + -2y = 5 + 5

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

Combine like terms: 5 + 5 = 10
-2y = 10

Divide each side by '-2'.
y = -5

Simplifying
y = -5