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Simplifying 3(y + -3) = y + -5(-2y + -1) Reorder the terms: 3(-3 + y) = y + -5(-2y + -1) (-3 * 3 + y * 3) = y + -5(-2y + -1) (-9 + 3y) = y + -5(-2y + -1) Reorder the terms: -9 + 3y = y + -5(-1 + -2y) -9 + 3y = y + (-1 * -5 + -2y * -5) -9 + 3y = y + (5 + 10y) Reorder the terms: -9 + 3y = 5 + y + 10y Combine like terms: y + 10y = 11y -9 + 3y = 5 + 11y Solving -9 + 3y = 5 + 11y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-11y' to each side of the equation. -9 + 3y + -11y = 5 + 11y + -11y Combine like terms: 3y + -11y = -8y -9 + -8y = 5 + 11y + -11y Combine like terms: 11y + -11y = 0 -9 + -8y = 5 + 0 -9 + -8y = 5 Add '9' to each side of the equation. -9 + 9 + -8y = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -8y = 5 + 9 -8y = 5 + 9 Combine like terms: 5 + 9 = 14 -8y = 14 Divide each side by '-8'. y = -1.75 Simplifying y = -1.75
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