0.2(15y-5)=4(4y+1)

Solution for 0.2(15y-5)=4(4y+1) equation:

Simplifying
0.2(15y + -5) = 4(4y + 1)

Reorder the terms:
0.2(-5 + 15y) = 4(4y + 1)
(-5 * 0.2 + 15y * 0.2) = 4(4y + 1)
(-1 + 3y) = 4(4y + 1)

Reorder the terms:
-1 + 3y = 4(1 + 4y)
-1 + 3y = (1 * 4 + 4y * 4)
-1 + 3y = (4 + 16y)

Solving
-1 + 3y = 4 + 16y

Solving for variable 'y'.

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

Add '-16y' to each side of the equation.
-1 + 3y + -16y = 4 + 16y + -16y

Combine like terms: 3y + -16y = -13y
-1 + -13y = 4 + 16y + -16y

Combine like terms: 16y + -16y = 0
-1 + -13y = 4 + 0
-1 + -13y = 4

Add '1' to each side of the equation.
-1 + 1 + -13y = 4 + 1

Combine like terms: -1 + 1 = 0
0 + -13y = 4 + 1
-13y = 4 + 1

Combine like terms: 4 + 1 = 5
-13y = 5

Divide each side by '-13'.
y = -0.3846153846

Simplifying
y = -0.3846153846