y+6=7(x+3)

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

Simplifying
y + 6 = 7(x + 3)

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

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

Solving
6 + y = 21 + 7x

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 + y = 21 + -6 + 7x

Combine like terms: 6 + -6 = 0
0 + y = 21 + -6 + 7x
y = 21 + -6 + 7x

Combine like terms: 21 + -6 = 15
y = 15 + 7x

Simplifying
y = 15 + 7x