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Simplifying 5 + 3(2y + -4) + -3(4y + 4) + -9 = 0 Reorder the terms: 5 + 3(-4 + 2y) + -3(4y + 4) + -9 = 0 5 + (-4 * 3 + 2y * 3) + -3(4y + 4) + -9 = 0 5 + (-12 + 6y) + -3(4y + 4) + -9 = 0 Reorder the terms: 5 + -12 + 6y + -3(4 + 4y) + -9 = 0 5 + -12 + 6y + (4 * -3 + 4y * -3) + -9 = 0 5 + -12 + 6y + (-12 + -12y) + -9 = 0 Reorder the terms: 5 + -12 + -12 + -9 + 6y + -12y = 0 Combine like terms: 5 + -12 = -7 -7 + -12 + -9 + 6y + -12y = 0 Combine like terms: -7 + -12 = -19 -19 + -9 + 6y + -12y = 0 Combine like terms: -19 + -9 = -28 -28 + 6y + -12y = 0 Combine like terms: 6y + -12y = -6y -28 + -6y = 0 Solving -28 + -6y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + -6y = 0 + 28 Combine like terms: -28 + 28 = 0 0 + -6y = 0 + 28 -6y = 0 + 28 Combine like terms: 0 + 28 = 28 -6y = 28 Divide each side by '-6'. y = -4.666666667 Simplifying y = -4.666666667
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