4y+3(y+2)=2(y+4)-(2y-7)

Solution for 4y+3(y+2)=2(y+4)-(2y-7) equation:

Simplifying
4y + 3(y + 2) = 2(y + 4) + -1(2y + -7)

Reorder the terms:
4y + 3(2 + y) = 2(y + 4) + -1(2y + -7)
4y + (2 * 3 + y * 3) = 2(y + 4) + -1(2y + -7)
4y + (6 + 3y) = 2(y + 4) + -1(2y + -7)

Reorder the terms:
6 + 4y + 3y = 2(y + 4) + -1(2y + -7)

Combine like terms: 4y + 3y = 7y
6 + 7y = 2(y + 4) + -1(2y + -7)

Reorder the terms:
6 + 7y = 2(4 + y) + -1(2y + -7)
6 + 7y = (4 * 2 + y * 2) + -1(2y + -7)
6 + 7y = (8 + 2y) + -1(2y + -7)

Reorder the terms:
6 + 7y = 8 + 2y + -1(-7 + 2y)
6 + 7y = 8 + 2y + (-7 * -1 + 2y * -1)
6 + 7y = 8 + 2y + (7 + -2y)

Reorder the terms:
6 + 7y = 8 + 7 + 2y + -2y

Combine like terms: 8 + 7 = 15
6 + 7y = 15 + 2y + -2y

Combine like terms: 2y + -2y = 0
6 + 7y = 15 + 0
6 + 7y = 15

Solving
6 + 7y = 15

Solving for variable 'y'.

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

Add '-6' to each side of the equation.
6 + -6 + 7y = 15 + -6

Combine like terms: 6 + -6 = 0
0 + 7y = 15 + -6
7y = 15 + -6

Combine like terms: 15 + -6 = 9
7y = 9

Divide each side by '7'.
y = 1.285714286

Simplifying
y = 1.285714286