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Simplifying -7(5y + 5) = 2(-5 + 4y) Reorder the terms: -7(5 + 5y) = 2(-5 + 4y) (5 * -7 + 5y * -7) = 2(-5 + 4y) (-35 + -35y) = 2(-5 + 4y) -35 + -35y = (-5 * 2 + 4y * 2) -35 + -35y = (-10 + 8y) Solving -35 + -35y = -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. -35 + -35y + -8y = -10 + 8y + -8y Combine like terms: -35y + -8y = -43y -35 + -43y = -10 + 8y + -8y Combine like terms: 8y + -8y = 0 -35 + -43y = -10 + 0 -35 + -43y = -10 Add '35' to each side of the equation. -35 + 35 + -43y = -10 + 35 Combine like terms: -35 + 35 = 0 0 + -43y = -10 + 35 -43y = -10 + 35 Combine like terms: -10 + 35 = 25 -43y = 25 Divide each side by '-43'. y = -0.5813953488 Simplifying y = -0.5813953488
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