Solve for y 0.5(5y+15)=2.9-(y+3)

Problem

0.5*(5*y+15)=2.9−(y+3)

Solution

1. Distribute the 0.5 on the left side and the negative sign on the right side.

0.5*(5*y)+0.5*(15)=2.9−y−3

2. Simplify both sides of the equation by performing the multiplications and combining constants.

2.5*y+7.5=−0.1−y

3. Add y to both sides to move all variable terms to the left.

3.5*y+7.5=−0.1

4. Subtract 7.5 from both sides to isolate the variable term.

3.5*y=−7.6

5. Divide both sides by 3.5 to solve for y

y=(−7.6)/3.5

6. Simplify the fraction by multiplying the numerator and denominator by 10 and reducing.

y=−76/35

Final Answer

y=−76/35

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