Question

Y-1/ 2y+3 = 4/13
Find y
(please show your steps I need to know how to do this)

Answer 1

Simplifying
13 = 2y + -3(y + 4)

Reorder the terms:
13 = 2y + -3(4 + y)
13 = 2y + (4 * -3 + y * -3)
13 = 2y + (-12 + -3y)

Reorder the terms:
13 = -12 + 2y + -3y

Combine like terms: 2y + -3y = -1y
13 = -12 + -1y

Solving
13 = -12 + -1y

Solving for variable 'y'.

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

Add 'y' to each side of the equation.
13 + y = -12 + -1y + y

Combine like terms: -1y + y = 0
13 + y = -12 + 0
13 + y = -12

Add '-13' to each side of the equation.
13 + -13 + y = -12 + -13

Combine like terms: 13 + -13 = 0
0 + y = -12 + -13
y = -12 + -13

Combine like terms: -12 + -13 = -25
y = -25


Simplifying
y = -25