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Simplifying 2 + -3(4y + 9) = 9 + -10y Reorder the terms: 2 + -3(9 + 4y) = 9 + -10y 2 + (9 * -3 + 4y * -3) = 9 + -10y 2 + (-27 + -12y) = 9 + -10y Combine like terms: 2 + -27 = -25 -25 + -12y = 9 + -10y Solving -25 + -12y = 9 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -25 + -12y + 10y = 9 + -10y + 10y Combine like terms: -12y + 10y = -2y -25 + -2y = 9 + -10y + 10y Combine like terms: -10y + 10y = 0 -25 + -2y = 9 + 0 -25 + -2y = 9 Add '25' to each side of the equation. -25 + 25 + -2y = 9 + 25 Combine like terms: -25 + 25 = 0 0 + -2y = 9 + 25 -2y = 9 + 25 Combine like terms: 9 + 25 = 34 -2y = 34 Divide each side by '-2'. y = -17 Simplifying y = -17
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