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Simplifying -82 + 5y + 5 = 4(3y + -5) + -8 Reorder the terms: -82 + 5 + 5y = 4(3y + -5) + -8 Combine like terms: -82 + 5 = -77 -77 + 5y = 4(3y + -5) + -8 Reorder the terms: -77 + 5y = 4(-5 + 3y) + -8 -77 + 5y = (-5 * 4 + 3y * 4) + -8 -77 + 5y = (-20 + 12y) + -8 Reorder the terms: -77 + 5y = -20 + -8 + 12y Combine like terms: -20 + -8 = -28 -77 + 5y = -28 + 12y Solving -77 + 5y = -28 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -77 + 5y + -12y = -28 + 12y + -12y Combine like terms: 5y + -12y = -7y -77 + -7y = -28 + 12y + -12y Combine like terms: 12y + -12y = 0 -77 + -7y = -28 + 0 -77 + -7y = -28 Add '77' to each side of the equation. -77 + 77 + -7y = -28 + 77 Combine like terms: -77 + 77 = 0 0 + -7y = -28 + 77 -7y = -28 + 77 Combine like terms: -28 + 77 = 49 -7y = 49 Divide each side by '-7'. y = -7 Simplifying y = -7
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