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

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

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

Reorder the terms:
6y + -3(2 + 5y) = 4(4 + -1y)
6y + (2 * -3 + 5y * -3) = 4(4 + -1y)
6y + (-6 + -15y) = 4(4 + -1y)

Reorder the terms:
-6 + 6y + -15y = 4(4 + -1y)

Combine like terms: 6y + -15y = -9y
-6 + -9y = 4(4 + -1y)
-6 + -9y = (4 * 4 + -1y * 4)
-6 + -9y = (16 + -4y)

Solving
-6 + -9y = 16 + -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.
-6 + -9y + 4y = 16 + -4y + 4y

Combine like terms: -9y + 4y = -5y
-6 + -5y = 16 + -4y + 4y

Combine like terms: -4y + 4y = 0
-6 + -5y = 16 + 0
-6 + -5y = 16

Add '6' to each side of the equation.
-6 + 6 + -5y = 16 + 6

Combine like terms: -6 + 6 = 0
0 + -5y = 16 + 6
-5y = 16 + 6

Combine like terms: 16 + 6 = 22
-5y = 22

Divide each side by '-5'.
y = -4.4

Simplifying
y = -4.4