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Simplifying -2(5y + -9) + -1y = -3(y + -5) Reorder the terms: -2(-9 + 5y) + -1y = -3(y + -5) (-9 * -2 + 5y * -2) + -1y = -3(y + -5) (18 + -10y) + -1y = -3(y + -5) Combine like terms: -10y + -1y = -11y 18 + -11y = -3(y + -5) Reorder the terms: 18 + -11y = -3(-5 + y) 18 + -11y = (-5 * -3 + y * -3) 18 + -11y = (15 + -3y) Solving 18 + -11y = 15 + -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. 18 + -11y + 3y = 15 + -3y + 3y Combine like terms: -11y + 3y = -8y 18 + -8y = 15 + -3y + 3y Combine like terms: -3y + 3y = 0 18 + -8y = 15 + 0 18 + -8y = 15 Add '-18' to each side of the equation. 18 + -18 + -8y = 15 + -18 Combine like terms: 18 + -18 = 0 0 + -8y = 15 + -18 -8y = 15 + -18 Combine like terms: 15 + -18 = -3 -8y = -3 Divide each side by '-8'. y = 0.375 Simplifying y = 0.375
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