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Simplifying 5(7y + -3) = 14(2y + -2) Reorder the terms: 5(-3 + 7y) = 14(2y + -2) (-3 * 5 + 7y * 5) = 14(2y + -2) (-15 + 35y) = 14(2y + -2) Reorder the terms: -15 + 35y = 14(-2 + 2y) -15 + 35y = (-2 * 14 + 2y * 14) -15 + 35y = (-28 + 28y) Solving -15 + 35y = -28 + 28y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-28y' to each side of the equation. -15 + 35y + -28y = -28 + 28y + -28y Combine like terms: 35y + -28y = 7y -15 + 7y = -28 + 28y + -28y Combine like terms: 28y + -28y = 0 -15 + 7y = -28 + 0 -15 + 7y = -28 Add '15' to each side of the equation. -15 + 15 + 7y = -28 + 15 Combine like terms: -15 + 15 = 0 0 + 7y = -28 + 15 7y = -28 + 15 Combine like terms: -28 + 15 = -13 7y = -13 Divide each side by '7'. y = -1.857142857 Simplifying y = -1.857142857
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