Solving the equation

Mathematics

1 answer:

liubo4ka [24]2 years ago

7 0

Answer:

y = 5

Step-by-step explanation:

Step 1: Write equation

-(4y + 2) - (-3y - 6) = -1

Step 2: Solve for y

Distribute: -4y - 2 + 3y + 6 = -1
Combine like terms: -y + 4 = -1
Subtract 4 on both sides: -y = -5
Divide both sides by -1: y = 5

Step 3: Check

Plug in y to verify it's a solution.

-(4(5) + 2) - (-3(5) - 6) = -1

-(20 + 2) - (-15 - 6) = -1

-22 - (-21) = -1

-22 + 21 = -1

-1 = -1

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Proof of one direction for example:

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