4(y-3)=-7(x-1)

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Solution for 4(y-3)=-7(x-1) equation:


Simplifying
4(y + -3) = -7(x + -1)

Reorder the terms:
4(-3 + y) = -7(x + -1)
(-3 * 4 + y * 4) = -7(x + -1)
(-12 + 4y) = -7(x + -1)

Reorder the terms:
-12 + 4y = -7(-1 + x)
-12 + 4y = (-1 * -7 + x * -7)
-12 + 4y = (7 + -7x)

Solving
-12 + 4y = 7 + -7x

Solving for variable 'y'.

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

Add '12' to each side of the equation.
-12 + 12 + 4y = 7 + 12 + -7x

Combine like terms: -12 + 12 = 0
0 + 4y = 7 + 12 + -7x
4y = 7 + 12 + -7x

Combine like terms: 7 + 12 = 19
4y = 19 + -7x

Divide each side by '4'.
y = 4.75 + -1.75x

Simplifying
y = 4.75 + -1.75x

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