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Simplifying 3(3y + -9) + -1(5y + 5) = 0 Reorder the terms: 3(-9 + 3y) + -1(5y + 5) = 0 (-9 * 3 + 3y * 3) + -1(5y + 5) = 0 (-27 + 9y) + -1(5y + 5) = 0 Reorder the terms: -27 + 9y + -1(5 + 5y) = 0 -27 + 9y + (5 * -1 + 5y * -1) = 0 -27 + 9y + (-5 + -5y) = 0 Reorder the terms: -27 + -5 + 9y + -5y = 0 Combine like terms: -27 + -5 = -32 -32 + 9y + -5y = 0 Combine like terms: 9y + -5y = 4y -32 + 4y = 0 Solving -32 + 4y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 4y = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 4y = 0 + 32 4y = 0 + 32 Combine like terms: 0 + 32 = 32 4y = 32 Divide each side by '4'. y = 8 Simplifying y = 8
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