-0.3(y-10)=-0.9(y+1.5)

Solution for -0.3(y-10)=-0.9(y+1.5) equation:

Simplifying
-0.3(y + -10) = -0.9(y + 1.5)

Reorder the terms:
-0.3(-10 + y) = -0.9(y + 1.5)
(-10 * -0.3 + y * -0.3) = -0.9(y + 1.5)
(3 + -0.3y) = -0.9(y + 1.5)

Reorder the terms:
3 + -0.3y = -0.9(1.5 + y)
3 + -0.3y = (1.5 * -0.9 + y * -0.9)
3 + -0.3y = (-1.35 + -0.9y)

Solving
3 + -0.3y = -1.35 + -0.9y

Solving for variable 'y'.

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

Add '0.9y' to each side of the equation.
3 + -0.3y + 0.9y = -1.35 + -0.9y + 0.9y

Combine like terms: -0.3y + 0.9y = 0.6y
3 + 0.6y = -1.35 + -0.9y + 0.9y

Combine like terms: -0.9y + 0.9y = 0.0
3 + 0.6y = -1.35 + 0.0
3 + 0.6y = -1.35

Add '-3' to each side of the equation.
3 + -3 + 0.6y = -1.35 + -3

Combine like terms: 3 + -3 = 0
0 + 0.6y = -1.35 + -3
0.6y = -1.35 + -3

Combine like terms: -1.35 + -3 = -4.35
0.6y = -4.35

Divide each side by '0.6'.
y = -7.25

Simplifying
y = -7.25