Question

1. error analysis describe and correct the error in solving the equation. -2(7 - y) + 4 = -4 -14 - 2y + 4 = -4 -10 - 2y = -4 -2y = 6 y = -3

Explanation:

Step1: Analyze the first error

When distributing -2 in -2(7 - y), it should be -14 + 2y, not -14 - 2y.

Step2: Correct the equation

The correct first - step for -2(7 - y)+4=-4 is -14 + 2y+4=-4.
Combining like - terms gives 2y - 10=-4.

Step3: Solve for y

Add 10 to both sides: 2y=-4 + 10, so 2y = 6.
Divide both sides by 2: y = 3.

Answer:

The error is in the distribution of -2 in -2(7 - y), it should be -14+2y instead of -14 - 2y. The correct solution is y = 3.