8y-(3y-21)=46

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Solution for 8y-(3y-21)=46 equation:


Simplifying
8y + -1(3y + -21) = 46

Reorder the terms:
8y + -1(-21 + 3y) = 46
8y + (-21 * -1 + 3y * -1) = 46
8y + (21 + -3y) = 46

Reorder the terms:
21 + 8y + -3y = 46

Combine like terms: 8y + -3y = 5y
21 + 5y = 46

Solving
21 + 5y = 46

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-21' to each side of the equation.
21 + -21 + 5y = 46 + -21

Combine like terms: 21 + -21 = 0
0 + 5y = 46 + -21
5y = 46 + -21

Combine like terms: 46 + -21 = 25
5y = 25

Divide each side by '5'.
y = 5

Simplifying
y = 5

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