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Simplifying -5(2y + -9) + -1y = -3(y + -2) Reorder the terms: -5(-9 + 2y) + -1y = -3(y + -2) (-9 * -5 + 2y * -5) + -1y = -3(y + -2) (45 + -10y) + -1y = -3(y + -2) Combine like terms: -10y + -1y = -11y 45 + -11y = -3(y + -2) Reorder the terms: 45 + -11y = -3(-2 + y) 45 + -11y = (-2 * -3 + y * -3) 45 + -11y = (6 + -3y) Solving 45 + -11y = 6 + -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. 45 + -11y + 3y = 6 + -3y + 3y Combine like terms: -11y + 3y = -8y 45 + -8y = 6 + -3y + 3y Combine like terms: -3y + 3y = 0 45 + -8y = 6 + 0 45 + -8y = 6 Add '-45' to each side of the equation. 45 + -45 + -8y = 6 + -45 Combine like terms: 45 + -45 = 0 0 + -8y = 6 + -45 -8y = 6 + -45 Combine like terms: 6 + -45 = -39 -8y = -39 Divide each side by '-8'. y = 4.875 Simplifying y = 4.875
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