Question

Find the y please use the screen shot

Answer 1

y = 0.3

Explanation:

Solve for y:

`\longrightarrow` (3.2y - 1.8) - (5.2 y + 3.4) = -5.8

-(5.2y + 3.4) = -5.2y - 3.4:

`\longrightarrow`3.2y - 1.8 -5.2y - 3.4 = -5.8

Grouping like terms, 3.2y - 1.8 - 5.2y - 3.4 = (3.2y - 5.2y) + (-1.8 - 3.4):

`\longrightarrow` (3.2y - 5.2y) + (-1.8 - 3.4) = -5.8

3.2y - 5.2y = -2 y:

`\longrightarrow` -2y + (-1.8 - 3.4) = -5.8

-1.8 - 3.4 = -5.2:

`\longrightarrow` -5.2 - 2y = -5.8

Add 5.2` to both sides:

`\longrightarrow` (5.2 - 5.2) - 2y = 5.2 - 5.8

5.2 - 5.2 = 0:

`\longrightarrow` -2y = 5.2 - 5.8

5.2 - 5.8 = -0.6:

`\longrightarrow` -2y = -0.6

Divide both sides of -2y = -0.6 by -2:

`\longrightarrow`
`\sf (-2)/(-2)y = (-0.6)/(-2)`

`\sf (-2)/(-2) = 1:`

`\longrightarrow`
`\sf y = (-0.6)/(-2)`

`\sf (-0.6)/(-2) = 0.3:`

`\longrightarrow` y = 0.3