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Simplifying -5y + -8(4y + -6) = 1 + 3(9 + -1y) Reorder the terms: -5y + -8(-6 + 4y) = 1 + 3(9 + -1y) -5y + (-6 * -8 + 4y * -8) = 1 + 3(9 + -1y) -5y + (48 + -32y) = 1 + 3(9 + -1y) Reorder the terms: 48 + -5y + -32y = 1 + 3(9 + -1y) Combine like terms: -5y + -32y = -37y 48 + -37y = 1 + 3(9 + -1y) 48 + -37y = 1 + (9 * 3 + -1y * 3) 48 + -37y = 1 + (27 + -3y) Combine like terms: 1 + 27 = 28 48 + -37y = 28 + -3y Solving 48 + -37y = 28 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 48 + -37y + 3y = 28 + -3y + 3y Combine like terms: -37y + 3y = -34y 48 + -34y = 28 + -3y + 3y Combine like terms: -3y + 3y = 0 48 + -34y = 28 + 0 48 + -34y = 28 Add '-48' to each side of the equation. 48 + -48 + -34y = 28 + -48 Combine like terms: 48 + -48 = 0 0 + -34y = 28 + -48 -34y = 28 + -48 Combine like terms: 28 + -48 = -20 -34y = -20 Divide each side by '-34'. y = 0.5882352941 Simplifying y = 0.5882352941
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