5.1y+21.3=0.3y-24.6

Solution for 5.1y+21.3=0.3y-24.6 equation:

Simplifying
5.1y + 21.3 = 0.3y + -24.6

Reorder the terms:
21.3 + 5.1y = 0.3y + -24.6

Reorder the terms:
21.3 + 5.1y = -24.6 + 0.3y

Solving
21.3 + 5.1y = -24.6 + 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.
21.3 + 5.1y + -0.3y = -24.6 + 0.3y + -0.3y

Combine like terms: 5.1y + -0.3y = 4.8y
21.3 + 4.8y = -24.6 + 0.3y + -0.3y

Combine like terms: 0.3y + -0.3y = 0.0
21.3 + 4.8y = -24.6 + 0.0
21.3 + 4.8y = -24.6

Add '-21.3' to each side of the equation.
21.3 + -21.3 + 4.8y = -24.6 + -21.3

Combine like terms: 21.3 + -21.3 = 0.0
0.0 + 4.8y = -24.6 + -21.3
4.8y = -24.6 + -21.3

Combine like terms: -24.6 + -21.3 = -45.9
4.8y = -45.9

Divide each side by '4.8'.
y = -9.5625

Simplifying
y = -9.5625