2.4(y-0.5)=2.9(y-1)

Solution for 2.4(y-0.5)=2.9(y-1) equation:

Simplifying
2.4(y + -0.5) = 2.9(y + -1)

Reorder the terms:
2.4(-0.5 + y) = 2.9(y + -1)
(-0.5 * 2.4 + y * 2.4) = 2.9(y + -1)
(-1.2 + 2.4y) = 2.9(y + -1)

Reorder the terms:
-1.2 + 2.4y = 2.9(-1 + y)
-1.2 + 2.4y = (-1 * 2.9 + y * 2.9)
-1.2 + 2.4y = (-2.9 + 2.9y)

Solving
-1.2 + 2.4y = -2.9 + 2.9y

Solving for variable 'y'.

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

Add '-2.9y' to each side of the equation.
-1.2 + 2.4y + -2.9y = -2.9 + 2.9y + -2.9y

Combine like terms: 2.4y + -2.9y = -0.5y
-1.2 + -0.5y = -2.9 + 2.9y + -2.9y

Combine like terms: 2.9y + -2.9y = 0.0
-1.2 + -0.5y = -2.9 + 0.0
-1.2 + -0.5y = -2.9

Add '1.2' to each side of the equation.
-1.2 + 1.2 + -0.5y = -2.9 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -0.5y = -2.9 + 1.2
-0.5y = -2.9 + 1.2

Combine like terms: -2.9 + 1.2 = -1.7
-0.5y = -1.7

Divide each side by '-0.5'.
y = 3.4

Simplifying
y = 3.4