Calculate: 7x+10y=5

Expression: $7x+10y=5$

Move the variable to the right-hand side and change its sign

$10y=5-7x$

Divide both sides of the equation by $10$

$y=\frac{ 1 }{ 2 }-\frac{ 7 }{ 10 }x$

Use the commutative property to reorder the terms

$y=-\frac{ 7 }{ 10 }x+\frac{ 1 }{ 2 }$