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Use the steps for solving linear equations to solve the given linear equation for [tex]y[/tex].

[tex] 1.5y + 3.3(y - 5) = 36.3 [/tex]

Answer :

Sure! Let's solve the linear equation step-by-step to find the value of [tex]\( y \)[/tex].

The equation is:
[tex]\[ 1.5y + 3.3(y - 5) = 36.3 \][/tex]

1. Distribute the [tex]\( 3.3 \)[/tex] across the terms inside the parentheses:

[tex]\[ 1.5y + 3.3 \times y - 3.3 \times 5 = 36.3 \][/tex]

This becomes:
[tex]\[ 1.5y + 3.3y - 16.5 = 36.3 \][/tex]

2. Combine the like terms ([tex]\( y \)[/tex] terms):

[tex]\[ (1.5y + 3.3y) - 16.5 = 36.3 \][/tex]

So the combined terms give us:
[tex]\[ 4.8y - 16.5 = 36.3 \][/tex]

3. Move the constant term to the other side of the equation:

Add [tex]\( 16.5 \)[/tex] to both sides:
[tex]\[ 4.8y = 36.3 + 16.5 \][/tex]

This simplifies to:
[tex]\[ 4.8y = 52.8 \][/tex]

4. Solve for [tex]\( y \)[/tex] by dividing both sides by [tex]\( 4.8 \)[/tex]:

[tex]\[ y = \frac{52.8}{4.8} \][/tex]

Therefore, [tex]\( y = 11.0 \)[/tex].

So, the value of [tex]\( y \)[/tex] is [tex]\( 11.0 \)[/tex].

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