4(y+1)+y=3(y-2)+2 — step-by-step solution

Let's solve in

ℝ

4 \cdot (y + 1) + y = 3 \cdot (y - 2) + 2

ⓘ Expand by multiplying each term inside the parentheses:

4 \cdot (y + 1)

4 y + 4

3 \cdot (y - 2)

3 y - 6

4 y + 4 + y = 3 y - 6 + 2

ⓘ Like terms are grouped by adding their coefficients:

4 y + y

5 y

■Start from

-6

and move forward

2

on the number line, getting closer to zero:

- 6 + 2

-4

5 y + 4 = 3 y - 4

ⓘ We subtract

4

from both sides■Start from

-4

and move back

4

more on the number line, away from zero:

- 4 - 4

-8

5 y = 3 y - 8

ⓘ We subtract

3 y

from both sides

5 y - 3 y = -8

ⓘ Like terms are grouped by adding their coefficients:

5 y - 3 y

2 y

2 y = -8

ⓘ Both sides are divided by

2

y = - \frac{8}{2}

ⓘ We simplify the fraction by dividing the numerator and the denominator by

2

, their greatest common divisor:

- \frac{8}{2}

-4

▶Solution found:

y = -4