2(y+5)+6y=4(y-20)

Solution for 2(y+5)+6y=4(y-20) equation:

Simplifying
2(y + 5) + 6y = 4(y + -20)

Reorder the terms:
2(5 + y) + 6y = 4(y + -20)
(5 * 2 + y * 2) + 6y = 4(y + -20)
(10 + 2y) + 6y = 4(y + -20)

Combine like terms: 2y + 6y = 8y
10 + 8y = 4(y + -20)

Reorder the terms:
10 + 8y = 4(-20 + y)
10 + 8y = (-20 * 4 + y * 4)
10 + 8y = (-80 + 4y)

Solving
10 + 8y = -80 + 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.
10 + 8y + -4y = -80 + 4y + -4y

Combine like terms: 8y + -4y = 4y
10 + 4y = -80 + 4y + -4y

Combine like terms: 4y + -4y = 0
10 + 4y = -80 + 0
10 + 4y = -80

Add '-10' to each side of the equation.
10 + -10 + 4y = -80 + -10

Combine like terms: 10 + -10 = 0
0 + 4y = -80 + -10
4y = -80 + -10

Combine like terms: -80 + -10 = -90
4y = -90

Divide each side by '4'.
y = -22.5

Simplifying
y = -22.5