-4y+6=-3(y-7)

Solution for -4y+6=-3(y-7) equation:

Simplifying
-4y + 6 = -3(y + -7)

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

Reorder the terms:
6 + -4y = -3(-7 + y)
6 + -4y = (-7 * -3 + y * -3)
6 + -4y = (21 + -3y)

Solving
6 + -4y = 21 + -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.
6 + -4y + 3y = 21 + -3y + 3y

Combine like terms: -4y + 3y = -1y
6 + -1y = 21 + -3y + 3y

Combine like terms: -3y + 3y = 0
6 + -1y = 21 + 0
6 + -1y = 21

Add '-6' to each side of the equation.
6 + -6 + -1y = 21 + -6

Combine like terms: 6 + -6 = 0
0 + -1y = 21 + -6
-1y = 21 + -6

Combine like terms: 21 + -6 = 15
-1y = 15

Divide each side by '-1'.
y = -15

Simplifying
y = -15