-3(y-4y)+3=-2(5y-y)+6+16y

Solution for -3(y-4y)+3=-2(5y-y)+6+16y equation:

Simplifying
-3(y + -4y) + 3 = -2(5y + -1y) + 6 + 16y

Combine like terms: y + -4y = -3y
-3(-3y) + 3 = -2(5y + -1y) + 6 + 16y

Remove parenthesis around (-3y)
-3 * -3y + 3 = -2(5y + -1y) + 6 + 16y

Multiply -3 * -3
9y + 3 = -2(5y + -1y) + 6 + 16y

Reorder the terms:
3 + 9y = -2(5y + -1y) + 6 + 16y

Combine like terms: 5y + -1y = 4y
3 + 9y = -2(4y) + 6 + 16y

Remove parenthesis around (4y)
3 + 9y = -2 * 4y + 6 + 16y

Multiply -2 * 4
3 + 9y = -8y + 6 + 16y

Reorder the terms:
3 + 9y = 6 + -8y + 16y

Combine like terms: -8y + 16y = 8y
3 + 9y = 6 + 8y

Solving
3 + 9y = 6 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
3 + 9y + -8y = 6 + 8y + -8y

Combine like terms: 9y + -8y = 1y
3 + 1y = 6 + 8y + -8y

Combine like terms: 8y + -8y = 0
3 + 1y = 6 + 0
3 + 1y = 6

Add '-3' to each side of the equation.
3 + -3 + 1y = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 1y = 6 + -3
1y = 6 + -3

Combine like terms: 6 + -3 = 3
1y = 3

Divide each side by '1'.
y = 3

Simplifying
y = 3