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Simplifying 3(2y + 1) + -5(12 + -7) = -42 + 30 Reorder the terms: 3(1 + 2y) + -5(12 + -7) = -42 + 30 (1 * 3 + 2y * 3) + -5(12 + -7) = -42 + 30 (3 + 6y) + -5(12 + -7) = -42 + 30 Combine like terms: 12 + -7 = 5 3 + 6y + -5(5) = -42 + 30 Multiply -5 * 5 3 + 6y + -25 = -42 + 30 Reorder the terms: 3 + -25 + 6y = -42 + 30 Combine like terms: 3 + -25 = -22 -22 + 6y = -42 + 30 Combine like terms: -42 + 30 = -12 -22 + 6y = -12 Solving -22 + 6y = -12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 6y = -12 + 22 Combine like terms: -22 + 22 = 0 0 + 6y = -12 + 22 6y = -12 + 22 Combine like terms: -12 + 22 = 10 6y = 10 Divide each side by '6'. y = 1.666666667 Simplifying y = 1.666666667
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