0.3(y+1)-0.2(y-5)=0

Solution for 0.3(y+1)-0.2(y-5)=0 equation:

Simplifying
0.3(y + 1) + -0.2(y + -5) = 0

Reorder the terms:
0.3(1 + y) + -0.2(y + -5) = 0
(1 * 0.3 + y * 0.3) + -0.2(y + -5) = 0
(0.3 + 0.3y) + -0.2(y + -5) = 0

Reorder the terms:
0.3 + 0.3y + -0.2(-5 + y) = 0
0.3 + 0.3y + (-5 * -0.2 + y * -0.2) = 0
0.3 + 0.3y + (1 + -0.2y) = 0

Reorder the terms:
0.3 + 1 + 0.3y + -0.2y = 0

Combine like terms: 0.3 + 1 = 1.3
1.3 + 0.3y + -0.2y = 0

Combine like terms: 0.3y + -0.2y = 0.1y
1.3 + 0.1y = 0

Solving
1.3 + 0.1y = 0

Solving for variable 'y'.

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

Add '-1.3' to each side of the equation.
1.3 + -1.3 + 0.1y = 0 + -1.3

Combine like terms: 1.3 + -1.3 = 0.0
0.0 + 0.1y = 0 + -1.3
0.1y = 0 + -1.3

Combine like terms: 0 + -1.3 = -1.3
0.1y = -1.3

Divide each side by '0.1'.
y = -13

Simplifying
y = -13