y+5=6(x-7)

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Solution for y+5=6(x-7) equation:


Simplifying
y + 5 = 6(x + -7)

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

Reorder the terms:
5 + y = 6(-7 + x)
5 + y = (-7 * 6 + x * 6)
5 + y = (-42 + 6x)

Solving
5 + y = -42 + 6x

Solving for variable 'y'.

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

Add '-5' to each side of the equation.
5 + -5 + y = -42 + -5 + 6x

Combine like terms: 5 + -5 = 0
0 + y = -42 + -5 + 6x
y = -42 + -5 + 6x

Combine like terms: -42 + -5 = -47
y = -47 + 6x

Simplifying
y = -47 + 6x

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