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Simplifying -20 + -17 + 13y = 9(3y + 13) Combine like terms: -20 + -17 = -37 -37 + 13y = 9(3y + 13) Reorder the terms: -37 + 13y = 9(13 + 3y) -37 + 13y = (13 * 9 + 3y * 9) -37 + 13y = (117 + 27y) Solving -37 + 13y = 117 + 27y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-27y' to each side of the equation. -37 + 13y + -27y = 117 + 27y + -27y Combine like terms: 13y + -27y = -14y -37 + -14y = 117 + 27y + -27y Combine like terms: 27y + -27y = 0 -37 + -14y = 117 + 0 -37 + -14y = 117 Add '37' to each side of the equation. -37 + 37 + -14y = 117 + 37 Combine like terms: -37 + 37 = 0 0 + -14y = 117 + 37 -14y = 117 + 37 Combine like terms: 117 + 37 = 154 -14y = 154 Divide each side by '-14'. y = -11 Simplifying y = -11
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