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Simplifying 6(3y + -5) = -1(-5 + -1y) Reorder the terms: 6(-5 + 3y) = -1(-5 + -1y) (-5 * 6 + 3y * 6) = -1(-5 + -1y) (-30 + 18y) = -1(-5 + -1y) -30 + 18y = (-5 * -1 + -1y * -1) -30 + 18y = (5 + 1y) Solving -30 + 18y = 5 + 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. -30 + 18y + -1y = 5 + 1y + -1y Combine like terms: 18y + -1y = 17y -30 + 17y = 5 + 1y + -1y Combine like terms: 1y + -1y = 0 -30 + 17y = 5 + 0 -30 + 17y = 5 Add '30' to each side of the equation. -30 + 30 + 17y = 5 + 30 Combine like terms: -30 + 30 = 0 0 + 17y = 5 + 30 17y = 5 + 30 Combine like terms: 5 + 30 = 35 17y = 35 Divide each side by '17'. y = 2.058823529 Simplifying y = 2.058823529
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