Simplifying
4.2y + 0.8 = 6.2y + -1(1.1y + 0.8) + 1.2
Reorder the terms:
0.8 + 4.2y = 6.2y + -1(1.1y + 0.8) + 1.2
Reorder the terms:
0.8 + 4.2y = 6.2y + -1(0.8 + 1.1y) + 1.2
0.8 + 4.2y = 6.2y + (0.8 * -1 + 1.1y * -1) + 1.2
0.8 + 4.2y = 6.2y + (-0.8 + -1.1y) + 1.2
Reorder the terms:
0.8 + 4.2y = -0.8 + 1.2 + 6.2y + -1.1y
Combine like terms: -0.8 + 1.2 = 0.4
0.8 + 4.2y = 0.4 + 6.2y + -1.1y
Combine like terms: 6.2y + -1.1y = 5.1y
0.8 + 4.2y = 0.4 + 5.1y
Solving
0.8 + 4.2y = 0.4 + 5.1y
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-5.1y' to each side of the equation.
0.8 + 4.2y + -5.1y = 0.4 + 5.1y + -5.1y
Combine like terms: 4.2y + -5.1y = -0.9y
0.8 + -0.9y = 0.4 + 5.1y + -5.1y
Combine like terms: 5.1y + -5.1y = 0.0
0.8 + -0.9y = 0.4 + 0.0
0.8 + -0.9y = 0.4
Add '-0.8' to each side of the equation.
0.8 + -0.8 + -0.9y = 0.4 + -0.8
Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.9y = 0.4 + -0.8
-0.9y = 0.4 + -0.8
Combine like terms: 0.4 + -0.8 = -0.4
-0.9y = -0.4
Divide each side by '-0.9'.
y = 0.4444444444
Simplifying
y = 0.4444444444