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Simplifying -1(13y + 20) + -1(17y + 16) + 16y = 6 + 12 Reorder the terms: -1(20 + 13y) + -1(17y + 16) + 16y = 6 + 12 (20 * -1 + 13y * -1) + -1(17y + 16) + 16y = 6 + 12 (-20 + -13y) + -1(17y + 16) + 16y = 6 + 12 Reorder the terms: -20 + -13y + -1(16 + 17y) + 16y = 6 + 12 -20 + -13y + (16 * -1 + 17y * -1) + 16y = 6 + 12 -20 + -13y + (-16 + -17y) + 16y = 6 + 12 Reorder the terms: -20 + -16 + -13y + -17y + 16y = 6 + 12 Combine like terms: -20 + -16 = -36 -36 + -13y + -17y + 16y = 6 + 12 Combine like terms: -13y + -17y = -30y -36 + -30y + 16y = 6 + 12 Combine like terms: -30y + 16y = -14y -36 + -14y = 6 + 12 Combine like terms: 6 + 12 = 18 -36 + -14y = 18 Solving -36 + -14y = 18 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -14y = 18 + 36 Combine like terms: -36 + 36 = 0 0 + -14y = 18 + 36 -14y = 18 + 36 Combine like terms: 18 + 36 = 54 -14y = 54 Divide each side by '-14'. y = -3.857142857 Simplifying y = -3.857142857
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