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Simplifying 3(3y + -6) + -1(4y + 7) = 0 Reorder the terms: 3(-6 + 3y) + -1(4y + 7) = 0 (-6 * 3 + 3y * 3) + -1(4y + 7) = 0 (-18 + 9y) + -1(4y + 7) = 0 Reorder the terms: -18 + 9y + -1(7 + 4y) = 0 -18 + 9y + (7 * -1 + 4y * -1) = 0 -18 + 9y + (-7 + -4y) = 0 Reorder the terms: -18 + -7 + 9y + -4y = 0 Combine like terms: -18 + -7 = -25 -25 + 9y + -4y = 0 Combine like terms: 9y + -4y = 5y -25 + 5y = 0 Solving -25 + 5y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 5y = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 5y = 0 + 25 5y = 0 + 25 Combine like terms: 0 + 25 = 25 5y = 25 Divide each side by '5'. y = 5 Simplifying y = 5
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