0.2(15y+15)-7=-0.2(5y-20)

Solution for 0.2(15y+15)-7=-0.2(5y-20) equation:

Simplifying
0.2(15y + 15) + -7 = -0.2(5y + -20)

Reorder the terms:
0.2(15 + 15y) + -7 = -0.2(5y + -20)
(15 * 0.2 + 15y * 0.2) + -7 = -0.2(5y + -20)
(3 + 3y) + -7 = -0.2(5y + -20)

Reorder the terms:
3 + -7 + 3y = -0.2(5y + -20)

Combine like terms: 3 + -7 = -4
-4 + 3y = -0.2(5y + -20)

Reorder the terms:
-4 + 3y = -0.2(-20 + 5y)
-4 + 3y = (-20 * -0.2 + 5y * -0.2)
-4 + 3y = (4 + -1y)

Solving
-4 + 3y = 4 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
-4 + 3y + y = 4 + -1y + y

Combine like terms: 3y + y = 4y
-4 + 4y = 4 + -1y + y

Combine like terms: -1y + y = 0
-4 + 4y = 4 + 0
-4 + 4y = 4

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

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

Combine like terms: 4 + 4 = 8
4y = 8

Divide each side by '4'.
y = 2

Simplifying
y = 2