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10-\left(6y+7x\right)=4
Multiply both sides of the equation by 2.
10-6y-7x=4
To find the opposite of 6y+7x, find the opposite of each term.
-6y-7x=4-10
Subtract 10 from both sides.
-6y-7x=-6
Subtract 10 from 4 to get -6.
-7x=-6+6y
Add 6y to both sides.
-7x=6y-6
The equation is in standard form.
\frac{-7x}{-7}=\frac{6y-6}{-7}
Divide both sides by -7.
x=\frac{6y-6}{-7}
Dividing by -7 undoes the multiplication by -7.
x=\frac{6-6y}{7}
Divide -6+6y by -7.
10-\left(6y+7x\right)=4
Multiply both sides of the equation by 2.
10-6y-7x=4
To find the opposite of 6y+7x, find the opposite of each term.
-6y-7x=4-10
Subtract 10 from both sides.
-6y-7x=-6
Subtract 10 from 4 to get -6.
-6y=-6+7x
Add 7x to both sides.
-6y=7x-6
The equation is in standard form.
\frac{-6y}{-6}=\frac{7x-6}{-6}
Divide both sides by -6.
y=\frac{7x-6}{-6}
Dividing by -6 undoes the multiplication by -6.
y=-\frac{7x}{6}+1
Divide -6+7x by -6.