7y+4(y-5)=3(y+1)-2

Solution for 7y+4(y-5)=3(y+1)-2 equation:

Simplifying
7y + 4(y + -5) = 3(y + 1) + -2

Reorder the terms:
7y + 4(-5 + y) = 3(y + 1) + -2
7y + (-5 * 4 + y * 4) = 3(y + 1) + -2
7y + (-20 + 4y) = 3(y + 1) + -2

Reorder the terms:
-20 + 7y + 4y = 3(y + 1) + -2

Combine like terms: 7y + 4y = 11y
-20 + 11y = 3(y + 1) + -2

Reorder the terms:
-20 + 11y = 3(1 + y) + -2
-20 + 11y = (1 * 3 + y * 3) + -2
-20 + 11y = (3 + 3y) + -2

Reorder the terms:
-20 + 11y = 3 + -2 + 3y

Combine like terms: 3 + -2 = 1
-20 + 11y = 1 + 3y

Solving
-20 + 11y = 1 + 3y

Solving for variable 'y'.

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

Add '-3y' to each side of the equation.
-20 + 11y + -3y = 1 + 3y + -3y

Combine like terms: 11y + -3y = 8y
-20 + 8y = 1 + 3y + -3y

Combine like terms: 3y + -3y = 0
-20 + 8y = 1 + 0
-20 + 8y = 1

Add '20' to each side of the equation.
-20 + 20 + 8y = 1 + 20

Combine like terms: -20 + 20 = 0
0 + 8y = 1 + 20
8y = 1 + 20

Combine like terms: 1 + 20 = 21
8y = 21

Divide each side by '8'.
y = 2.625

Simplifying
y = 2.625