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Simplifying 5(y + -2) = 4(2y + 5) Reorder the terms: 5(-2 + y) = 4(2y + 5) (-2 * 5 + y * 5) = 4(2y + 5) (-10 + 5y) = 4(2y + 5) Reorder the terms: -10 + 5y = 4(5 + 2y) -10 + 5y = (5 * 4 + 2y * 4) -10 + 5y = (20 + 8y) Solving -10 + 5y = 20 + 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. -10 + 5y + -8y = 20 + 8y + -8y Combine like terms: 5y + -8y = -3y -10 + -3y = 20 + 8y + -8y Combine like terms: 8y + -8y = 0 -10 + -3y = 20 + 0 -10 + -3y = 20 Add '10' to each side of the equation. -10 + 10 + -3y = 20 + 10 Combine like terms: -10 + 10 = 0 0 + -3y = 20 + 10 -3y = 20 + 10 Combine like terms: 20 + 10 = 30 -3y = 30 Divide each side by '-3'. y = -10 Simplifying y = -10
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