Solve for y 14-42=4(y-1)-8

Math
14-42=4(y-1)-8
Rewrite the equation as 4(y-1)-8=14-42.
4(y-1)-8=14-42
Simplify 4(y-1)-8.
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Simplify each term.
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Apply the distributive property.
4y+4⋅-1-8=14-42
Multiply 4 by -1.
4y-4-8=14-42
4y-4-8=14-42
Subtract 8 from -4.
4y-12=14-42
4y-12=14-42
Subtract 42 from 14.
4y-12=-28
Move all terms not containing y to the right side of the equation.
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Add 12 to both sides of the equation.
4y=-28+12
Add -28 and 12.
4y=-16
4y=-16
Divide each term by 4 and simplify.
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Divide each term in 4y=-16 by 4.
4y4=-164
Cancel the common factor of 4.
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Cancel the common factor.
4y4=-164
Divide y by 1.
y=-164
y=-164
Divide -16 by 4.
y=-4
y=-4
Solve for y 14-42=4(y-1)-8

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