Solve for y t=1/8*(a-y+z)

Math
t=18⋅(a-y+z)
Rewrite the equation as 18⋅(a-y+z)=t.
18⋅(a-y+z)=t
Multiply both sides of the equation by 8.
8⋅18⋅(a-y+z)=8⋅t
Simplify 8⋅18⋅(a-y+z).
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Cancel the common factor of 8.
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Cancel the common factor.
8⋅18⋅(a-y+z)=8⋅t
Rewrite the expression.
1⋅(a-y+z)=8⋅t
1⋅(a-y+z)=8⋅t
Multiply a-y+z by 1.
a-y+z=8⋅t
a-y+z=8t
Move all terms not containing y to the right side of the equation.
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Subtract a from both sides of the equation.
-y+z=8t-a
Subtract z from both sides of the equation.
-y=8t-a-z
-y=8t-a-z
Multiply each term in -y=8t-a-z by -1
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Multiply each term in -y=8t-a-z by -1.
(-y)⋅-1=8t⋅-1+(-a)⋅-1+(-z)⋅-1
Multiply (-y)⋅-1.
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Multiply -1 by -1.
1y=8t⋅-1+(-a)⋅-1+(-z)⋅-1
Multiply y by 1.
y=8t⋅-1+(-a)⋅-1+(-z)⋅-1
y=8t⋅-1+(-a)⋅-1+(-z)⋅-1
Simplify each term.
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Multiply -1 by 8.
y=-8t+(-a)⋅-1+(-z)⋅-1
Multiply (-a)⋅-1.
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Multiply -1 by -1.
y=-8t+1a+(-z)⋅-1
Multiply a by 1.
y=-8t+a+(-z)⋅-1
y=-8t+a+(-z)⋅-1
Multiply (-z)⋅-1.
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Multiply -1 by -1.
y=-8t+a+1z
Multiply z by 1.
y=-8t+a+z
y=-8t+a+z
y=-8t+a+z
y=-8t+a+z
Solve for y t=1/8*(a-y+z)

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