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Simplifying 0.75(12y + 8) + -3(4y + 5) = 0 Reorder the terms: 0.75(8 + 12y) + -3(4y + 5) = 0 (8 * 0.75 + 12y * 0.75) + -3(4y + 5) = 0 (6 + 9y) + -3(4y + 5) = 0 Reorder the terms: 6 + 9y + -3(5 + 4y) = 0 6 + 9y + (5 * -3 + 4y * -3) = 0 6 + 9y + (-15 + -12y) = 0 Reorder the terms: 6 + -15 + 9y + -12y = 0 Combine like terms: 6 + -15 = -9 -9 + 9y + -12y = 0 Combine like terms: 9y + -12y = -3y -9 + -3y = 0 Solving -9 + -3y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -3y = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -3y = 0 + 9 -3y = 0 + 9 Combine like terms: 0 + 9 = 9 -3y = 9 Divide each side by '-3'. y = -3 Simplifying y = -3
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