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Simplifying 5(2 + -3) + -9y = 4(3 + -2y) Combine like terms: 2 + -3 = -1 5(-1) + -9y = 4(3 + -2y) Multiply 5 * -1 -5 + -9y = 4(3 + -2y) -5 + -9y = (3 * 4 + -2y * 4) -5 + -9y = (12 + -8y) Solving -5 + -9y = 12 + -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. -5 + -9y + 8y = 12 + -8y + 8y Combine like terms: -9y + 8y = -1y -5 + -1y = 12 + -8y + 8y Combine like terms: -8y + 8y = 0 -5 + -1y = 12 + 0 -5 + -1y = 12 Add '5' to each side of the equation. -5 + 5 + -1y = 12 + 5 Combine like terms: -5 + 5 = 0 0 + -1y = 12 + 5 -1y = 12 + 5 Combine like terms: 12 + 5 = 17 -1y = 17 Divide each side by '-1'. y = -17 Simplifying y = -17
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