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Simplifying 7(3y + 4) = 1y + -34 Reorder the terms: 7(4 + 3y) = 1y + -34 (4 * 7 + 3y * 7) = 1y + -34 (28 + 21y) = 1y + -34 Reorder the terms: 28 + 21y = -34 + 1y Solving 28 + 21y = -34 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. 28 + 21y + -1y = -34 + 1y + -1y Combine like terms: 21y + -1y = 20y 28 + 20y = -34 + 1y + -1y Combine like terms: 1y + -1y = 0 28 + 20y = -34 + 0 28 + 20y = -34 Add '-28' to each side of the equation. 28 + -28 + 20y = -34 + -28 Combine like terms: 28 + -28 = 0 0 + 20y = -34 + -28 20y = -34 + -28 Combine like terms: -34 + -28 = -62 20y = -62 Divide each side by '20'. y = -3.1 Simplifying y = -3.1
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