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Simplifying [3y + -2] = [4y + 5] Reorder the terms: [-2 + 3y] = [4y + 5] Remove brackets around [-2 + 3y] -2 + 3y = [4y + 5] Reorder the terms: -2 + 3y = [5 + 4y] Remove brackets around [5 + 4y] -2 + 3y = 5 + 4y Solving -2 + 3y = 5 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -2 + 3y + -4y = 5 + 4y + -4y Combine like terms: 3y + -4y = -1y -2 + -1y = 5 + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + -1y = 5 + 0 -2 + -1y = 5 Add '2' to each side of the equation. -2 + 2 + -1y = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -1y = 5 + 2 -1y = 5 + 2 Combine like terms: 5 + 2 = 7 -1y = 7 Divide each side by '-1'. y = -7 Simplifying y = -7
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