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Simplifying 7(4 + -1y) + 2 = -2(y + -2) + -3 (4 * 7 + -1y * 7) + 2 = -2(y + -2) + -3 (28 + -7y) + 2 = -2(y + -2) + -3 Reorder the terms: 28 + 2 + -7y = -2(y + -2) + -3 Combine like terms: 28 + 2 = 30 30 + -7y = -2(y + -2) + -3 Reorder the terms: 30 + -7y = -2(-2 + y) + -3 30 + -7y = (-2 * -2 + y * -2) + -3 30 + -7y = (4 + -2y) + -3 Reorder the terms: 30 + -7y = 4 + -3 + -2y Combine like terms: 4 + -3 = 1 30 + -7y = 1 + -2y Solving 30 + -7y = 1 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 30 + -7y + 2y = 1 + -2y + 2y Combine like terms: -7y + 2y = -5y 30 + -5y = 1 + -2y + 2y Combine like terms: -2y + 2y = 0 30 + -5y = 1 + 0 30 + -5y = 1 Add '-30' to each side of the equation. 30 + -30 + -5y = 1 + -30 Combine like terms: 30 + -30 = 0 0 + -5y = 1 + -30 -5y = 1 + -30 Combine like terms: 1 + -30 = -29 -5y = -29 Divide each side by '-5'. y = 5.8 Simplifying y = 5.8
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