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Simplifying 5(3y + -6) + (7 + -2y) = -12 Reorder the terms: 5(-6 + 3y) + (7 + -2y) = -12 (-6 * 5 + 3y * 5) + (7 + -2y) = -12 (-30 + 15y) + (7 + -2y) = -12 Remove parenthesis around (7 + -2y) -30 + 15y + 7 + -2y = -12 Reorder the terms: -30 + 7 + 15y + -2y = -12 Combine like terms: -30 + 7 = -23 -23 + 15y + -2y = -12 Combine like terms: 15y + -2y = 13y -23 + 13y = -12 Solving -23 + 13y = -12 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 13y = -12 + 23 Combine like terms: -23 + 23 = 0 0 + 13y = -12 + 23 13y = -12 + 23 Combine like terms: -12 + 23 = 11 13y = 11 Divide each side by '13'. y = 0.8461538462 Simplifying y = 0.8461538462
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