2.8(y-4)=0.3(y+0.5)

Solution for 2.8(y-4)=0.3(y+0.5) equation:

Simplifying
2.8(y + -4) = 0.3(y + 0.5)

Reorder the terms:
2.8(-4 + y) = 0.3(y + 0.5)
(-4 * 2.8 + y * 2.8) = 0.3(y + 0.5)
(-11.2 + 2.8y) = 0.3(y + 0.5)

Reorder the terms:
-11.2 + 2.8y = 0.3(0.5 + y)
-11.2 + 2.8y = (0.5 * 0.3 + y * 0.3)
-11.2 + 2.8y = (0.15 + 0.3y)

Solving
-11.2 + 2.8y = 0.15 + 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.
-11.2 + 2.8y + -0.3y = 0.15 + 0.3y + -0.3y

Combine like terms: 2.8y + -0.3y = 2.5y
-11.2 + 2.5y = 0.15 + 0.3y + -0.3y

Combine like terms: 0.3y + -0.3y = 0.0
-11.2 + 2.5y = 0.15 + 0.0
-11.2 + 2.5y = 0.15

Add '11.2' to each side of the equation.
-11.2 + 11.2 + 2.5y = 0.15 + 11.2

Combine like terms: -11.2 + 11.2 = 0.0
0.0 + 2.5y = 0.15 + 11.2
2.5y = 0.15 + 11.2

Combine like terms: 0.15 + 11.2 = 11.35
2.5y = 11.35

Divide each side by '2.5'.
y = 4.54

Simplifying
y = 4.54