0.125(3y+2)=4(2y+0.5)+2

Solution for 0.125(3y+2)=4(2y+0.5)+2 equation:

Simplifying
0.125(3y + 2) = 4(2y + 0.5) + 2

Reorder the terms:
0.125(2 + 3y) = 4(2y + 0.5) + 2
(2 * 0.125 + 3y * 0.125) = 4(2y + 0.5) + 2
(0.25 + 0.375y) = 4(2y + 0.5) + 2

Reorder the terms:
0.25 + 0.375y = 4(0.5 + 2y) + 2
0.25 + 0.375y = (0.5 * 4 + 2y * 4) + 2
0.25 + 0.375y = (2 + 8y) + 2

Reorder the terms:
0.25 + 0.375y = 2 + 2 + 8y

Combine like terms: 2 + 2 = 4
0.25 + 0.375y = 4 + 8y

Solving
0.25 + 0.375y = 4 + 8y

Solving for variable 'y'.

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

Add '-8y' to each side of the equation.
0.25 + 0.375y + -8y = 4 + 8y + -8y

Combine like terms: 0.375y + -8y = -7.625y
0.25 + -7.625y = 4 + 8y + -8y

Combine like terms: 8y + -8y = 0
0.25 + -7.625y = 4 + 0
0.25 + -7.625y = 4

Add '-0.25' to each side of the equation.
0.25 + -0.25 + -7.625y = 4 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -7.625y = 4 + -0.25
-7.625y = 4 + -0.25

Combine like terms: 4 + -0.25 = 3.75
-7.625y = 3.75

Divide each side by '-7.625'.
y = -0.4918032787

Simplifying
y = -0.4918032787