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Simplifying -35 + 4y = 8(6y + 5) Reorder the terms: -35 + 4y = 8(5 + 6y) -35 + 4y = (5 * 8 + 6y * 8) -35 + 4y = (40 + 48y) Solving -35 + 4y = 40 + 48y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-48y' to each side of the equation. -35 + 4y + -48y = 40 + 48y + -48y Combine like terms: 4y + -48y = -44y -35 + -44y = 40 + 48y + -48y Combine like terms: 48y + -48y = 0 -35 + -44y = 40 + 0 -35 + -44y = 40 Add '35' to each side of the equation. -35 + 35 + -44y = 40 + 35 Combine like terms: -35 + 35 = 0 0 + -44y = 40 + 35 -44y = 40 + 35 Combine like terms: 40 + 35 = 75 -44y = 75 Divide each side by '-44'. y = -1.704545455 Simplifying y = -1.704545455
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