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Simplifying -2(4y + -6) + 5y = 3(y + 9) Reorder the terms: -2(-6 + 4y) + 5y = 3(y + 9) (-6 * -2 + 4y * -2) + 5y = 3(y + 9) (12 + -8y) + 5y = 3(y + 9) Combine like terms: -8y + 5y = -3y 12 + -3y = 3(y + 9) Reorder the terms: 12 + -3y = 3(9 + y) 12 + -3y = (9 * 3 + y * 3) 12 + -3y = (27 + 3y) Solving 12 + -3y = 27 + 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. 12 + -3y + -3y = 27 + 3y + -3y Combine like terms: -3y + -3y = -6y 12 + -6y = 27 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + -6y = 27 + 0 12 + -6y = 27 Add '-12' to each side of the equation. 12 + -12 + -6y = 27 + -12 Combine like terms: 12 + -12 = 0 0 + -6y = 27 + -12 -6y = 27 + -12 Combine like terms: 27 + -12 = 15 -6y = 15 Divide each side by '-6'. y = -2.5 Simplifying y = -2.5
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