4y+3(2-y)=7

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

Simplifying
4y + 3(2 + -1y) = 7
4y + (2 * 3 + -1y * 3) = 7
4y + (6 + -3y) = 7

Reorder the terms:
6 + 4y + -3y = 7

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

Solving
6 + 1y = 7

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 + 1y = 7 + -6

Combine like terms: 6 + -6 = 0
0 + 1y = 7 + -6
1y = 7 + -6

Combine like terms: 7 + -6 = 1
1y = 1

Divide each side by '1'.
y = 1

Simplifying
y = 1