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Simplifying -6(-5y + 5) + -7y = 5(y + -3) + -1 Reorder the terms: -6(5 + -5y) + -7y = 5(y + -3) + -1 (5 * -6 + -5y * -6) + -7y = 5(y + -3) + -1 (-30 + 30y) + -7y = 5(y + -3) + -1 Combine like terms: 30y + -7y = 23y -30 + 23y = 5(y + -3) + -1 Reorder the terms: -30 + 23y = 5(-3 + y) + -1 -30 + 23y = (-3 * 5 + y * 5) + -1 -30 + 23y = (-15 + 5y) + -1 Reorder the terms: -30 + 23y = -15 + -1 + 5y Combine like terms: -15 + -1 = -16 -30 + 23y = -16 + 5y Solving -30 + 23y = -16 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -30 + 23y + -5y = -16 + 5y + -5y Combine like terms: 23y + -5y = 18y -30 + 18y = -16 + 5y + -5y Combine like terms: 5y + -5y = 0 -30 + 18y = -16 + 0 -30 + 18y = -16 Add '30' to each side of the equation. -30 + 30 + 18y = -16 + 30 Combine like terms: -30 + 30 = 0 0 + 18y = -16 + 30 18y = -16 + 30 Combine like terms: -16 + 30 = 14 18y = 14 Divide each side by '18'. y = 0.7777777778 Simplifying y = 0.7777777778
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