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Simplifying 5y + -9y + 2 = -14 + 2 + (-14) Reorder the terms: 2 + 5y + -9y = -14 + 2 + (-14) Combine like terms: 5y + -9y = -4y 2 + -4y = -14 + 2 + (-14) 2 + -4y = -14 + 2 + -14 Combine like terms: -14 + 2 = -12 2 + -4y = -12 + -14 Combine like terms: -12 + -14 = -26 2 + -4y = -26 Solving 2 + -4y = -26 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -4y = -26 + -2 Combine like terms: 2 + -2 = 0 0 + -4y = -26 + -2 -4y = -26 + -2 Combine like terms: -26 + -2 = -28 -4y = -28 Divide each side by '-4'. y = 7 Simplifying y = 7
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