0.9(y-4)=-3(y-10)

Solution for 0.9(y-4)=-3(y-10) equation:

Simplifying
0.9(y + -4) = -3(y + -10)

Reorder the terms:
0.9(-4 + y) = -3(y + -10)
(-4 * 0.9 + y * 0.9) = -3(y + -10)
(-3.6 + 0.9y) = -3(y + -10)

Reorder the terms:
-3.6 + 0.9y = -3(-10 + y)
-3.6 + 0.9y = (-10 * -3 + y * -3)
-3.6 + 0.9y = (30 + -3y)

Solving
-3.6 + 0.9y = 30 + -3y

Solving for variable 'y'.

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

Add '3y' to each side of the equation.
-3.6 + 0.9y + 3y = 30 + -3y + 3y

Combine like terms: 0.9y + 3y = 3.9y
-3.6 + 3.9y = 30 + -3y + 3y

Combine like terms: -3y + 3y = 0
-3.6 + 3.9y = 30 + 0
-3.6 + 3.9y = 30

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 3.9y = 30 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 3.9y = 30 + 3.6
3.9y = 30 + 3.6

Combine like terms: 30 + 3.6 = 33.6
3.9y = 33.6

Divide each side by '3.9'.
y = 8.615384615

Simplifying
y = 8.615384615