3(y-12)+4(x-3)=1

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Solution for 3(y-12)+4(x-3)=1 equation: 


Simplifying
3(y + -12) + 4(x + -3) = 1

Reorder the terms:
3(-12 + y) + 4(x + -3) = 1
(-12 * 3 + y * 3) + 4(x + -3) = 1
(-36 + 3y) + 4(x + -3) = 1

Reorder the terms:
-36 + 3y + 4(-3 + x) = 1
-36 + 3y + (-3 * 4 + x * 4) = 1
-36 + 3y + (-12 + 4x) = 1

Reorder the terms:
-36 + -12 + 4x + 3y = 1

Combine like terms: -36 + -12 = -48
-48 + 4x + 3y = 1

Solving
-48 + 4x + 3y = 1

Solving for variable 'x'.

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

Add '48' to each side of the equation.
-48 + 4x + 48 + 3y = 1 + 48

Reorder the terms:
-48 + 48 + 4x + 3y = 1 + 48

Combine like terms: -48 + 48 = 0
0 + 4x + 3y = 1 + 48
4x + 3y = 1 + 48

Combine like terms: 1 + 48 = 49
4x + 3y = 49

Add '-3y' to each side of the equation.
4x + 3y + -3y = 49 + -3y

Combine like terms: 3y + -3y = 0
4x + 0 = 49 + -3y
4x = 49 + -3y

Divide each side by '4'.
x = 12.25 + -0.75y

Simplifying
x = 12.25 + -0.75y

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