3.2(y+1)=2(1.4y-3)

Solution for 3.2(y+1)=2(1.4y-3) equation:

Simplifying
3.2(y + 1) = 2(1.4y + -3)

Reorder the terms:
3.2(1 + y) = 2(1.4y + -3)
(1 * 3.2 + y * 3.2) = 2(1.4y + -3)
(3.2 + 3.2y) = 2(1.4y + -3)

Reorder the terms:
3.2 + 3.2y = 2(-3 + 1.4y)
3.2 + 3.2y = (-3 * 2 + 1.4y * 2)
3.2 + 3.2y = (-6 + 2.8y)

Solving
3.2 + 3.2y = -6 + 2.8y

Solving for variable 'y'.

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

Add '-2.8y' to each side of the equation.
3.2 + 3.2y + -2.8y = -6 + 2.8y + -2.8y

Combine like terms: 3.2y + -2.8y = 0.4y
3.2 + 0.4y = -6 + 2.8y + -2.8y

Combine like terms: 2.8y + -2.8y = 0.0
3.2 + 0.4y = -6 + 0.0
3.2 + 0.4y = -6

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 0.4y = -6 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 0.4y = -6 + -3.2
0.4y = -6 + -3.2

Combine like terms: -6 + -3.2 = -9.2
0.4y = -9.2

Divide each side by '0.4'.
y = -23

Simplifying
y = -23