12-2x=-2(y-x) for y

Let's solve in

ℝ

-2 \cdot (y - x) = 12 - 2 x

ⓘ Multiply each term of the sum by the other factor, using the distributive law:

- 2 \cdot (y - x)

- (2 y + 2 \cdot (- x))

- (2 y + 2 \cdot (- x)) = 12 - 2 x

ⓘ A minus sign before a parenthesis changes the sign of each of its terms:

- (2 y - 2 x)

- 2 y + 2 x

■The minus sign is placed in front of the product:

2 \cdot (- x)

- 2 x

- 2 y + 2 x = 12 - 2 x

ⓘ Gather the terms in

y

on the right and the other terms on the left

2 x - 12 + 2 x = 2 y

ⓘ Like terms are grouped by adding their coefficients:

2 x + 2 x

4 x

4 x - 12 = 2 y

ⓘ Both sides are divided by

2

y = \frac{4 x - 12}{2}

ⓘ To simplify a fraction, divide its numerator and denominator by the same nonzero number:

\frac{4 x - 12}{2}

\frac{2 \cdot (2 x - 6)}{2}

2 x - 6

▶Solution found:

y = 2 x - 6

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