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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 = -19 1y = -19 Divide each side by '1'. y = -19 Simplifying y = -19
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