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Simplifying -5(2y + -3) + -1y = -3(y + -3) Reorder the terms: -5(-3 + 2y) + -1y = -3(y + -3) (-3 * -5 + 2y * -5) + -1y = -3(y + -3) (15 + -10y) + -1y = -3(y + -3) Combine like terms: -10y + -1y = -11y 15 + -11y = -3(y + -3) Reorder the terms: 15 + -11y = -3(-3 + y) 15 + -11y = (-3 * -3 + y * -3) 15 + -11y = (9 + -3y) Solving 15 + -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. 15 + -11y + 3y = 9 + -3y + 3y Combine like terms: -11y + 3y = -8y 15 + -8y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 15 + -8y = 9 + 0 15 + -8y = 9 Add '-15' to each side of the equation. 15 + -15 + -8y = 9 + -15 Combine like terms: 15 + -15 = 0 0 + -8y = 9 + -15 -8y = 9 + -15 Combine like terms: 9 + -15 = -6 -8y = -6 Divide each side by '-8'. y = 0.75 Simplifying y = 0.75
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