Solve ||-2y+6||=6

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Type your math problem... ||-2y+6||=6

Question

Solve the equation

y_{1} = 0, y_{2} = 6

Evaluate

∣ ∣ - 2 y + 6 ∣ ∣ = 6

Simplify

More Steps

Evaluate

∣ ∣ - 2 y + 6 ∣ ∣

Calculate the absolute value

∣ ∣ 2 y - 6 ∣ ∣

Simplify

∣ 2 y - 6 ∣

∣ 2 y - 6 ∣ = 6

Separate the equation into 2 possible cases

2 y - 6 = 6 2 y - 6 = - 6

Solve the equation for y

More Steps

Evaluate

2 y - 6 = 6

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

2 y = 6 + 6

Add the numbers

2 y = 12

Divide both sides

\frac{2 y}{2} = \frac{12}{2}

Divide the numbers

y = \frac{12}{2}

Divide the numbers

More Steps

Evaluate

\frac{12}{2}

Reduce the numbers

\frac{6}{1}

Calculate

6

y = 6

y = 6 2 y - 6 = - 6

Solve the equation for y

More Steps

Evaluate

2 y - 6 = - 6

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

2 y = - 6 + 6

Add the numbers

2 y = 0

Rewrite the expression

y = 0

y = 6 y = 0

Solution

y_{1} = 0, y_{2} = 6

Show Solution

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