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Simplifying -83 + 8y + 6 = 3(5y + -2) + -8 Reorder the terms: -83 + 6 + 8y = 3(5y + -2) + -8 Combine like terms: -83 + 6 = -77 -77 + 8y = 3(5y + -2) + -8 Reorder the terms: -77 + 8y = 3(-2 + 5y) + -8 -77 + 8y = (-2 * 3 + 5y * 3) + -8 -77 + 8y = (-6 + 15y) + -8 Reorder the terms: -77 + 8y = -6 + -8 + 15y Combine like terms: -6 + -8 = -14 -77 + 8y = -14 + 15y Solving -77 + 8y = -14 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. -77 + 8y + -15y = -14 + 15y + -15y Combine like terms: 8y + -15y = -7y -77 + -7y = -14 + 15y + -15y Combine like terms: 15y + -15y = 0 -77 + -7y = -14 + 0 -77 + -7y = -14 Add '77' to each side of the equation. -77 + 77 + -7y = -14 + 77 Combine like terms: -77 + 77 = 0 0 + -7y = -14 + 77 -7y = -14 + 77 Combine like terms: -14 + 77 = 63 -7y = 63 Divide each side by '-7'. y = -9 Simplifying y = -9
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