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Simplifying 3(2y + -7) = 8 + -1(1 + -1y) Reorder the terms: 3(-7 + 2y) = 8 + -1(1 + -1y) (-7 * 3 + 2y * 3) = 8 + -1(1 + -1y) (-21 + 6y) = 8 + -1(1 + -1y) -21 + 6y = 8 + (1 * -1 + -1y * -1) -21 + 6y = 8 + (-1 + 1y) Combine like terms: 8 + -1 = 7 -21 + 6y = 7 + 1y Solving -21 + 6y = 7 + 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. -21 + 6y + -1y = 7 + 1y + -1y Combine like terms: 6y + -1y = 5y -21 + 5y = 7 + 1y + -1y Combine like terms: 1y + -1y = 0 -21 + 5y = 7 + 0 -21 + 5y = 7 Add '21' to each side of the equation. -21 + 21 + 5y = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 5y = 7 + 21 5y = 7 + 21 Combine like terms: 7 + 21 = 28 5y = 28 Divide each side by '5'. y = 5.6 Simplifying y = 5.6
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