Answer
$y = 8$
Work Step by Step
$2y + 5(y - 4) = 4y - 2(y - 10)$
Step 1:
is not need because there is no fractions.
Step 2: Use the distribute property.
$2y + 5y - 20 = 4y - 2y + 20$
Step 3:
simplify each side of the equation by combining like terms.
$7y - 20 = 2y + 20$
Step 4:
The equation is linear.
Step 5:
Get all variable terms on one side and all numbers on the other side by using the addition property of equality.
$7y - 20 + 20 = 2y + 20 + 20$
$7y = 2y + 40$
$7y - 2y = 2y + 40 - 2y$
$5y = 40$
Step 6: Get the variable alone by using the multiplication property of equality.
$5y \times \frac{1}{5} = 40 \times \frac{1}{5} $
$y = 8$
Final Step: Check each solution in the original equation.
$2\times8 + 5( 8 -4) = 4 \times 8 - 2 (8 - 10)$
$16 + 20 = 32 +4$
$36 = 36$
