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Simplifying (3y + -1) + (3y + -47) = 0 Reorder the terms: (-1 + 3y) + (3y + -47) = 0 Remove parenthesis around (-1 + 3y) -1 + 3y + (3y + -47) = 0 Reorder the terms: -1 + 3y + (-47 + 3y) = 0 Remove parenthesis around (-47 + 3y) -1 + 3y + -47 + 3y = 0 Reorder the terms: -1 + -47 + 3y + 3y = 0 Combine like terms: -1 + -47 = -48 -48 + 3y + 3y = 0 Combine like terms: 3y + 3y = 6y -48 + 6y = 0 Solving -48 + 6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '48' to each side of the equation. -48 + 48 + 6y = 0 + 48 Combine like terms: -48 + 48 = 0 0 + 6y = 0 + 48 6y = 0 + 48 Combine like terms: 0 + 48 = 48 6y = 48 Divide each side by '6'. y = 8 Simplifying y = 8
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