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Simplifying 2(2 + -3y) = -5(y + -3) (2 * 2 + -3y * 2) = -5(y + -3) (4 + -6y) = -5(y + -3) Reorder the terms: 4 + -6y = -5(-3 + y) 4 + -6y = (-3 * -5 + y * -5) 4 + -6y = (15 + -5y) Solving 4 + -6y = 15 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. 4 + -6y + 5y = 15 + -5y + 5y Combine like terms: -6y + 5y = -1y 4 + -1y = 15 + -5y + 5y Combine like terms: -5y + 5y = 0 4 + -1y = 15 + 0 4 + -1y = 15 Add '-4' to each side of the equation. 4 + -4 + -1y = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 15 + -4 -1y = 15 + -4 Combine like terms: 15 + -4 = 11 -1y = 11 Divide each side by '-1'. y = -11 Simplifying y = -11
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