2.4(y-1.5)=.1(y-13)

Solution for 2.4(y-1.5)=.1(y-13) equation:

Simplifying
2.4(y + -1.5) = 0.1(y + -13)

Reorder the terms:
2.4(-1.5 + y) = 0.1(y + -13)
(-1.5 * 2.4 + y * 2.4) = 0.1(y + -13)
(-3.6 + 2.4y) = 0.1(y + -13)

Reorder the terms:
-3.6 + 2.4y = 0.1(-13 + y)
-3.6 + 2.4y = (-13 * 0.1 + y * 0.1)
-3.6 + 2.4y = (-1.3 + 0.1y)

Solving
-3.6 + 2.4y = -1.3 + 0.1y

Solving for variable 'y'.

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

Add '-0.1y' to each side of the equation.
-3.6 + 2.4y + -0.1y = -1.3 + 0.1y + -0.1y

Combine like terms: 2.4y + -0.1y = 2.3y
-3.6 + 2.3y = -1.3 + 0.1y + -0.1y

Combine like terms: 0.1y + -0.1y = 0.0
-3.6 + 2.3y = -1.3 + 0.0
-3.6 + 2.3y = -1.3

Add '3.6' to each side of the equation.
-3.6 + 3.6 + 2.3y = -1.3 + 3.6

Combine like terms: -3.6 + 3.6 = 0.0
0.0 + 2.3y = -1.3 + 3.6
2.3y = -1.3 + 3.6

Combine like terms: -1.3 + 3.6 = 2.3
2.3y = 2.3

Divide each side by '2.3'.
y = 1

Simplifying
y = 1