.9(y-4)=-.3(y-10)

Solution for .9(y-4)=-.3(y-10) equation:

Simplifying
0.9(y + -4) = -0.3(y + -10)

Reorder the terms:
0.9(-4 + y) = -0.3(y + -10)
(-4 * 0.9 + y * 0.9) = -0.3(y + -10)
(-3.6 + 0.9y) = -0.3(y + -10)

Reorder the terms:
-3.6 + 0.9y = -0.3(-10 + y)
-3.6 + 0.9y = (-10 * -0.3 + y * -0.3)
-3.6 + 0.9y = (3 + -0.3y)

Solving
-3.6 + 0.9y = 3 + -0.3y

Solving for variable 'y'.

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

Add '0.3y' to each side of the equation.
-3.6 + 0.9y + 0.3y = 3 + -0.3y + 0.3y

Combine like terms: 0.9y + 0.3y = 1.2y
-3.6 + 1.2y = 3 + -0.3y + 0.3y

Combine like terms: -0.3y + 0.3y = 0.0
-3.6 + 1.2y = 3 + 0.0
-3.6 + 1.2y = 3

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 1.2y = 3 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 1.2y = 3 + 3.6
1.2y = 3 + 3.6

Combine like terms: 3 + 3.6 = 6.6
1.2y = 6.6

Divide each side by '1.2'.
y = 5.5

Simplifying
y = 5.5