Question

solve 2y - 1 = 14 - y
​

Answer 1

Answer:

Rearrange terms

2

−

1

=

1

4

−

2y-1={\color{#c92786}{14-y}}

2y−1=14−y

2

−

1

=

−

+

1

4

2y-1={\color{#c92786}{-y+14}}

2y−1=−y+14

2

Add

1

1

1

to both sides of the equation

2

−

1

=

−

+

1

4

2y-1=-y+14

2y−1=−y+14

2

−

1

+

1

=

−

+

1

4

+

1

2y-1+{\color{#c92786}{1}}=-y+14+{\color{#c92786}{1}}

2y−1+1=−y+14+1

3

Simplify

Add the numbers

Add the numbers

2

=

−

+

1

5

2y=-y+15

2y=−y+15

4

Add

y

y

to both sides of the equation

2

=

−

+

1

5

2y=-y+15

2y=−y+15

2

+

=

−

+

1

5

+

2y+{\color{#c92786}{y}}=-y+15+{\color{#c92786}{y}}

2y+y=−y+15+y

5

Simplify

Combine like terms

Combine like terms

3

=

1

5

3y=15

3y=15

6

Divide both sides of the equation by the same term

3

=

1

5

3y=15

3y=15

3

3

=

1

5

3

\frac{3y}{{\color{#c92786}{3}}}=\frac{15}{{\color{#c92786}{3}}}

33y=315

7

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

5

Answer 2

Step-by-step explanation:

2y-1=14-y

2y+y=14+1 (by transposing terms)

3y=15

y=15/3

therefore y=5.