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Simplifying 6(y + -3) + (3y + 1) = 57 Reorder the terms: 6(-3 + y) + (3y + 1) = 57 (-3 * 6 + y * 6) + (3y + 1) = 57 (-18 + 6y) + (3y + 1) = 57 Reorder the terms: -18 + 6y + (1 + 3y) = 57 Remove parenthesis around (1 + 3y) -18 + 6y + 1 + 3y = 57 Reorder the terms: -18 + 1 + 6y + 3y = 57 Combine like terms: -18 + 1 = -17 -17 + 6y + 3y = 57 Combine like terms: 6y + 3y = 9y -17 + 9y = 57 Solving -17 + 9y = 57 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + 9y = 57 + 17 Combine like terms: -17 + 17 = 0 0 + 9y = 57 + 17 9y = 57 + 17 Combine like terms: 57 + 17 = 74 9y = 74 Divide each side by '9'. y = 8.222222222 Simplifying y = 8.222222222
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