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Simplifying 4(-1y + 7) + 3(6y + 1) = -2y + 3 + 4y Reorder the terms: 4(7 + -1y) + 3(6y + 1) = -2y + 3 + 4y (7 * 4 + -1y * 4) + 3(6y + 1) = -2y + 3 + 4y (28 + -4y) + 3(6y + 1) = -2y + 3 + 4y Reorder the terms: 28 + -4y + 3(1 + 6y) = -2y + 3 + 4y 28 + -4y + (1 * 3 + 6y * 3) = -2y + 3 + 4y 28 + -4y + (3 + 18y) = -2y + 3 + 4y Reorder the terms: 28 + 3 + -4y + 18y = -2y + 3 + 4y Combine like terms: 28 + 3 = 31 31 + -4y + 18y = -2y + 3 + 4y Combine like terms: -4y + 18y = 14y 31 + 14y = -2y + 3 + 4y Reorder the terms: 31 + 14y = 3 + -2y + 4y Combine like terms: -2y + 4y = 2y 31 + 14y = 3 + 2y Solving 31 + 14y = 3 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 31 + 14y + -2y = 3 + 2y + -2y Combine like terms: 14y + -2y = 12y 31 + 12y = 3 + 2y + -2y Combine like terms: 2y + -2y = 0 31 + 12y = 3 + 0 31 + 12y = 3 Add '-31' to each side of the equation. 31 + -31 + 12y = 3 + -31 Combine like terms: 31 + -31 = 0 0 + 12y = 3 + -31 12y = 3 + -31 Combine like terms: 3 + -31 = -28 12y = -28 Divide each side by '12'. y = -2.333333333 Simplifying y = -2.333333333
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