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Simplifying -5(2y + -6) + -1y = -3(y + -3) Reorder the terms: -5(-6 + 2y) + -1y = -3(y + -3) (-6 * -5 + 2y * -5) + -1y = -3(y + -3) (30 + -10y) + -1y = -3(y + -3) Combine like terms: -10y + -1y = -11y 30 + -11y = -3(y + -3) Reorder the terms: 30 + -11y = -3(-3 + y) 30 + -11y = (-3 * -3 + y * -3) 30 + -11y = (9 + -3y) Solving 30 + -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. 30 + -11y + 3y = 9 + -3y + 3y Combine like terms: -11y + 3y = -8y 30 + -8y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 30 + -8y = 9 + 0 30 + -8y = 9 Add '-30' to each side of the equation. 30 + -30 + -8y = 9 + -30 Combine like terms: 30 + -30 = 0 0 + -8y = 9 + -30 -8y = 9 + -30 Combine like terms: 9 + -30 = -21 -8y = -21 Divide each side by '-8'. y = 2.625 Simplifying y = 2.625
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