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Simplifying 4(2.5 + -2y) = -3(y + 3) (2.5 * 4 + -2y * 4) = -3(y + 3) (10 + -8y) = -3(y + 3) Reorder the terms: 10 + -8y = -3(3 + y) 10 + -8y = (3 * -3 + y * -3) 10 + -8y = (-9 + -3y) Solving 10 + -8y = -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. 10 + -8y + 3y = -9 + -3y + 3y Combine like terms: -8y + 3y = -5y 10 + -5y = -9 + -3y + 3y Combine like terms: -3y + 3y = 0 10 + -5y = -9 + 0 10 + -5y = -9 Add '-10' to each side of the equation. 10 + -10 + -5y = -9 + -10 Combine like terms: 10 + -10 = 0 0 + -5y = -9 + -10 -5y = -9 + -10 Combine like terms: -9 + -10 = -19 -5y = -19 Divide each side by '-5'. y = 3.8 Simplifying y = 3.8
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