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Simplifying 3(2y + 1) + -5(12y + -7) + (6y + -1) = 37 Reorder the terms: 3(1 + 2y) + -5(12y + -7) + (6y + -1) = 37 (1 * 3 + 2y * 3) + -5(12y + -7) + (6y + -1) = 37 (3 + 6y) + -5(12y + -7) + (6y + -1) = 37 Reorder the terms: 3 + 6y + -5(-7 + 12y) + (6y + -1) = 37 3 + 6y + (-7 * -5 + 12y * -5) + (6y + -1) = 37 3 + 6y + (35 + -60y) + (6y + -1) = 37 Reorder the terms: 3 + 6y + 35 + -60y + (-1 + 6y) = 37 Remove parenthesis around (-1 + 6y) 3 + 6y + 35 + -60y + -1 + 6y = 37 Reorder the terms: 3 + 35 + -1 + 6y + -60y + 6y = 37 Combine like terms: 3 + 35 = 38 38 + -1 + 6y + -60y + 6y = 37 Combine like terms: 38 + -1 = 37 37 + 6y + -60y + 6y = 37 Combine like terms: 6y + -60y = -54y 37 + -54y + 6y = 37 Combine like terms: -54y + 6y = -48y 37 + -48y = 37 Add '-37' to each side of the equation. 37 + -37 + -48y = 37 + -37 Combine like terms: 37 + -37 = 0 0 + -48y = 37 + -37 -48y = 37 + -37 Combine like terms: 37 + -37 = 0 -48y = 0 Solving -48y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '-48'. y = 0 Simplifying y = 0
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