2y+14=5y+7
Since 5y contains the variable to solve for, move it to the left-hand side of the equation by subtracting 5y from both sides.
2y+14-5y=7
Since 2y and -5y are like terms, add -5y to 2y to get -3y.
-3y+14=7
Since 14 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 14 from both sides.
-3y=-14+7
Add 7 to -14 to get -7.
-3y=-7
Divide each term in the equation by -3.
-(3y)/(-3)=-(7)/(-3)
Simplify the left-hand side of the equation by canceling the common terms.
y=-(7)/(-3)
Simplify the right-hand side of the equation by simplifying each term.
y=(7)/(3)