Based on this equation 3/4 (8y +12) = 3y - 15, what is 2y - 3?​

-19

Step-by-step explanation:

Given equation

(3/4) (8y + 12) = 3y - 15

Divide (3/4) on both sides

(REMEMBER division of fraction can be converted to multiplication by using the reciprocal of the fraction)

(3/4) (8y + 12) ÷ (3/4) = (3y - 15) ÷ (3/4)

(3/4) (8y + 12) × (4/3) = (3y - 15) × (4/3)

8y + 12 = 4y - 20

Subtract 4y on both sides

8y + 12 - 4y = 4y - 20 - 4y

4y + 12 = -20

Subtract 12 on both sides

4y + 12 - 12 = -20 - 12

4y = -32

Divide 4 on both sides

4y / 4 = -32 / 4

y = -8

Evaluate the expression basing on the [y] value

 2y - 3 ⇔ Given expression

=2(-8) - 3 ⇔ Substitute values into the expression

=-16 - 3 ⇔ Simplify by multiplication

= ⇔ Simplify by subtraction

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