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Simplifying 5(2y + -3y) + -9y = 4(3 + -2y) Combine like terms: 2y + -3y = -1y 5(-1y) + -9y = 4(3 + -2y) Remove parenthesis around (-1y) 5 * -1y + -9y = 4(3 + -2y) Multiply 5 * -1 -5y + -9y = 4(3 + -2y) Combine like terms: -5y + -9y = -14y -14y = 4(3 + -2y) -14y = (3 * 4 + -2y * 4) -14y = (12 + -8y) Solving -14y = 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. -14y + 8y = 12 + -8y + 8y Combine like terms: -14y + 8y = -6y -6y = 12 + -8y + 8y Combine like terms: -8y + 8y = 0 -6y = 12 + 0 -6y = 12 Divide each side by '-6'. y = -2 Simplifying y = -2
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