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Simplifying -5y + 7(4y + -3) = -2 + 7(9 + -1y) Reorder the terms: -5y + 7(-3 + 4y) = -2 + 7(9 + -1y) -5y + (-3 * 7 + 4y * 7) = -2 + 7(9 + -1y) -5y + (-21 + 28y) = -2 + 7(9 + -1y) Reorder the terms: -21 + -5y + 28y = -2 + 7(9 + -1y) Combine like terms: -5y + 28y = 23y -21 + 23y = -2 + 7(9 + -1y) -21 + 23y = -2 + (9 * 7 + -1y * 7) -21 + 23y = -2 + (63 + -7y) Combine like terms: -2 + 63 = 61 -21 + 23y = 61 + -7y Solving -21 + 23y = 61 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. -21 + 23y + 7y = 61 + -7y + 7y Combine like terms: 23y + 7y = 30y -21 + 30y = 61 + -7y + 7y Combine like terms: -7y + 7y = 0 -21 + 30y = 61 + 0 -21 + 30y = 61 Add '21' to each side of the equation. -21 + 21 + 30y = 61 + 21 Combine like terms: -21 + 21 = 0 0 + 30y = 61 + 21 30y = 61 + 21 Combine like terms: 61 + 21 = 82 30y = 82 Divide each side by '30'. y = 2.733333333 Simplifying y = 2.733333333
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