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Simplifying 3(3y + -4) = 2(4y + 5) Reorder the terms: 3(-4 + 3y) = 2(4y + 5) (-4 * 3 + 3y * 3) = 2(4y + 5) (-12 + 9y) = 2(4y + 5) Reorder the terms: -12 + 9y = 2(5 + 4y) -12 + 9y = (5 * 2 + 4y * 2) -12 + 9y = (10 + 8y) Solving -12 + 9y = 10 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -12 + 9y + -8y = 10 + 8y + -8y Combine like terms: 9y + -8y = 1y -12 + 1y = 10 + 8y + -8y Combine like terms: 8y + -8y = 0 -12 + 1y = 10 + 0 -12 + 1y = 10 Add '12' to each side of the equation. -12 + 12 + 1y = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = 10 + 12 1y = 10 + 12 Combine like terms: 10 + 12 = 22 1y = 22 Divide each side by '1'. y = 22 Simplifying y = 22
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