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Simplifying 7(5y + -4) = 3(12y + 2) Reorder the terms: 7(-4 + 5y) = 3(12y + 2) (-4 * 7 + 5y * 7) = 3(12y + 2) (-28 + 35y) = 3(12y + 2) Reorder the terms: -28 + 35y = 3(2 + 12y) -28 + 35y = (2 * 3 + 12y * 3) -28 + 35y = (6 + 36y) Solving -28 + 35y = 6 + 36y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-36y' to each side of the equation. -28 + 35y + -36y = 6 + 36y + -36y Combine like terms: 35y + -36y = -1y -28 + -1y = 6 + 36y + -36y Combine like terms: 36y + -36y = 0 -28 + -1y = 6 + 0 -28 + -1y = 6 Add '28' to each side of the equation. -28 + 28 + -1y = 6 + 28 Combine like terms: -28 + 28 = 0 0 + -1y = 6 + 28 -1y = 6 + 28 Combine like terms: 6 + 28 = 34 -1y = 34 Divide each side by '-1'. y = -34 Simplifying y = -34
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