Solve for x
x=\frac{y-19}{4}
Solve for y
y=4x+19
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y-7=4\left(x+3\right)
The opposite of -3 is 3.
y-7=4x+12
Use the distributive property to multiply 4 by x+3.
4x+12=y-7
Swap sides so that all variable terms are on the left hand side.
4x=y-7-12
Subtract 12 from both sides.
4x=y-19
Subtract 12 from -7 to get -19.
\frac{4x}{4}=\frac{y-19}{4}
Divide both sides by 4.
x=\frac{y-19}{4}
Dividing by 4 undoes the multiplication by 4.
y-7=4\left(x+3\right)
The opposite of -3 is 3.
y-7=4x+12
Use the distributive property to multiply 4 by x+3.
y=4x+12+7
Add 7 to both sides.
y=4x+19
Add 12 and 7 to get 19.
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