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Simplifying 5(2 + -3y) + -9y = 4(3y + -2y) (2 * 5 + -3y * 5) + -9y = 4(3y + -2y) (10 + -15y) + -9y = 4(3y + -2y) Combine like terms: -15y + -9y = -24y 10 + -24y = 4(3y + -2y) Combine like terms: 3y + -2y = 1y 10 + -24y = 4(1y) Remove parenthesis around (1y) 10 + -24y = 4 * 1y Multiply 4 * 1 10 + -24y = 4y Solving 10 + -24y = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. 10 + -24y + -4y = 4y + -4y Combine like terms: -24y + -4y = -28y 10 + -28y = 4y + -4y Combine like terms: 4y + -4y = 0 10 + -28y = 0 Add '-10' to each side of the equation. 10 + -10 + -28y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -28y = 0 + -10 -28y = 0 + -10 Combine like terms: 0 + -10 = -10 -28y = -10 Divide each side by '-28'. y = 0.3571428571 Simplifying y = 0.3571428571
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