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Simplifying 2 + -5(4 + y) = -3(2y + 3) + -2y 2 + (4 * -5 + y * -5) = -3(2y + 3) + -2y 2 + (-20 + -5y) = -3(2y + 3) + -2y Combine like terms: 2 + -20 = -18 -18 + -5y = -3(2y + 3) + -2y Reorder the terms: -18 + -5y = -3(3 + 2y) + -2y -18 + -5y = (3 * -3 + 2y * -3) + -2y -18 + -5y = (-9 + -6y) + -2y Combine like terms: -6y + -2y = -8y -18 + -5y = -9 + -8y Solving -18 + -5y = -9 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -18 + -5y + 8y = -9 + -8y + 8y Combine like terms: -5y + 8y = 3y -18 + 3y = -9 + -8y + 8y Combine like terms: -8y + 8y = 0 -18 + 3y = -9 + 0 -18 + 3y = -9 Add '18' to each side of the equation. -18 + 18 + 3y = -9 + 18 Combine like terms: -18 + 18 = 0 0 + 3y = -9 + 18 3y = -9 + 18 Combine like terms: -9 + 18 = 9 3y = 9 Divide each side by '3'. y = 3 Simplifying y = 3
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