2(5y+3)=4(y+1)

Solution for 2(5y+3)=4(y+1) equation:

Simplifying
2(5y + 3) = 4(y + 1)

Reorder the terms:
2(3 + 5y) = 4(y + 1)
(3 * 2 + 5y * 2) = 4(y + 1)
(6 + 10y) = 4(y + 1)

Reorder the terms:
6 + 10y = 4(1 + y)
6 + 10y = (1 * 4 + y * 4)
6 + 10y = (4 + 4y)

Solving
6 + 10y = 4 + 4y

Solving for variable 'y'.

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

Add '-4y' to each side of the equation.
6 + 10y + -4y = 4 + 4y + -4y

Combine like terms: 10y + -4y = 6y
6 + 6y = 4 + 4y + -4y

Combine like terms: 4y + -4y = 0
6 + 6y = 4 + 0
6 + 6y = 4

Add '-6' to each side of the equation.
6 + -6 + 6y = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 6y = 4 + -6
6y = 4 + -6

Combine like terms: 4 + -6 = -2
6y = -2

Divide each side by '6'.
y = -0.3333333333

Simplifying
y = -0.3333333333