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

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

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

Reorder the terms:
3(-7 + 2y) = -2(y + 1) + -1
(-7 * 3 + 2y * 3) = -2(y + 1) + -1
(-21 + 6y) = -2(y + 1) + -1

Reorder the terms:
-21 + 6y = -2(1 + y) + -1
-21 + 6y = (1 * -2 + y * -2) + -1
-21 + 6y = (-2 + -2y) + -1

Reorder the terms:
-21 + 6y = -2 + -1 + -2y

Combine like terms: -2 + -1 = -3
-21 + 6y = -3 + -2y

Solving
-21 + 6y = -3 + -2y

Solving for variable 'y'.

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

Add '2y' to each side of the equation.
-21 + 6y + 2y = -3 + -2y + 2y

Combine like terms: 6y + 2y = 8y
-21 + 8y = -3 + -2y + 2y

Combine like terms: -2y + 2y = 0
-21 + 8y = -3 + 0
-21 + 8y = -3

Add '21' to each side of the equation.
-21 + 21 + 8y = -3 + 21

Combine like terms: -21 + 21 = 0
0 + 8y = -3 + 21
8y = -3 + 21

Combine like terms: -3 + 21 = 18
8y = 18

Divide each side by '8'.
y = 2.25

Simplifying
y = 2.25