2.3(y+13)=0.5(y-5)

Solution for 2.3(y+13)=0.5(y-5) equation:

Simplifying
2.3(y + 13) = 0.5(y + -5)

Reorder the terms:
2.3(13 + y) = 0.5(y + -5)
(13 * 2.3 + y * 2.3) = 0.5(y + -5)
(29.9 + 2.3y) = 0.5(y + -5)

Reorder the terms:
29.9 + 2.3y = 0.5(-5 + y)
29.9 + 2.3y = (-5 * 0.5 + y * 0.5)
29.9 + 2.3y = (-2.5 + 0.5y)

Solving
29.9 + 2.3y = -2.5 + 0.5y

Solving for variable 'y'.

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

Add '-0.5y' to each side of the equation.
29.9 + 2.3y + -0.5y = -2.5 + 0.5y + -0.5y

Combine like terms: 2.3y + -0.5y = 1.8y
29.9 + 1.8y = -2.5 + 0.5y + -0.5y

Combine like terms: 0.5y + -0.5y = 0.0
29.9 + 1.8y = -2.5 + 0.0
29.9 + 1.8y = -2.5

Add '-29.9' to each side of the equation.
29.9 + -29.9 + 1.8y = -2.5 + -29.9

Combine like terms: 29.9 + -29.9 = 0.0
0.0 + 1.8y = -2.5 + -29.9
1.8y = -2.5 + -29.9

Combine like terms: -2.5 + -29.9 = -32.4
1.8y = -32.4

Divide each side by '1.8'.
y = -18

Simplifying
y = -18