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Simplifying -5(2y + -8) + -1y = -3(y + -3) Reorder the terms: -5(-8 + 2y) + -1y = -3(y + -3) (-8 * -5 + 2y * -5) + -1y = -3(y + -3) (40 + -10y) + -1y = -3(y + -3) Combine like terms: -10y + -1y = -11y 40 + -11y = -3(y + -3) Reorder the terms: 40 + -11y = -3(-3 + y) 40 + -11y = (-3 * -3 + y * -3) 40 + -11y = (9 + -3y) Solving 40 + -11y = 9 + -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. 40 + -11y + 3y = 9 + -3y + 3y Combine like terms: -11y + 3y = -8y 40 + -8y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 40 + -8y = 9 + 0 40 + -8y = 9 Add '-40' to each side of the equation. 40 + -40 + -8y = 9 + -40 Combine like terms: 40 + -40 = 0 0 + -8y = 9 + -40 -8y = 9 + -40 Combine like terms: 9 + -40 = -31 -8y = -31 Divide each side by '-8'. y = 3.875 Simplifying y = 3.875
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