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QuestionSolve for yy in the equation 0.15y+0.07(y+5000)=16700.15 y + 0.07(y + 5000) = 1670.

Studdy Solution

STEP 1

Assumptions1. The equation given is 0.15y+0.07(y+5000)=16700.15y+0.07(y+5000)=1670 . We are asked to solve for yy

STEP 2

First, we need to distribute the 0.070.07 to both yy and 50005000 in the equation.
0.15y+0.07y+0.07(5000)=16700.15y+0.07y+0.07(5000)=1670

STEP 3

Calculate 0.070.07 times 50005000.
0.07(5000)=3500.07(5000) =350

STEP 4

Substitute 350350 back into the equation.
0.15y+0.07y+350=16700.15y+0.07y+350=1670

STEP 5

Combine like terms on the left side of the equation.
0.22y+350=16700.22y+350=1670

STEP 6

Subtract 350350 from both sides of the equation to isolate the term with yy.
0.22y=1670−3500.22y =1670 -350

STEP 7

Calculate 1670−3501670 -350.
1670−350=13201670 -350 =1320

STEP 8

Substitute 13201320 back into the equation.
0.22y=13200.22y =1320

STEP 9

Divide both sides of the equation by .22.22 to solve for yy.
y=132.22y = \frac{132}{.22}

STEP 10

Calculate 13200.22\frac{1320}{0.22}.
y=6000y =6000So, y=6000y =6000.

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