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Simplifying 7(5y + -1) + 13 = 10 + -2y Reorder the terms: 7(-1 + 5y) + 13 = 10 + -2y (-1 * 7 + 5y * 7) + 13 = 10 + -2y (-7 + 35y) + 13 = 10 + -2y Reorder the terms: -7 + 13 + 35y = 10 + -2y Combine like terms: -7 + 13 = 6 6 + 35y = 10 + -2y Solving 6 + 35y = 10 + -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. 6 + 35y + 2y = 10 + -2y + 2y Combine like terms: 35y + 2y = 37y 6 + 37y = 10 + -2y + 2y Combine like terms: -2y + 2y = 0 6 + 37y = 10 + 0 6 + 37y = 10 Add '-6' to each side of the equation. 6 + -6 + 37y = 10 + -6 Combine like terms: 6 + -6 = 0 0 + 37y = 10 + -6 37y = 10 + -6 Combine like terms: 10 + -6 = 4 37y = 4 Divide each side by '37'. y = 0.1081081081 Simplifying y = 0.1081081081
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