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Simplifying -121 + 5y + 2 = 5(3y + -4) + -9 Reorder the terms: -121 + 2 + 5y = 5(3y + -4) + -9 Combine like terms: -121 + 2 = -119 -119 + 5y = 5(3y + -4) + -9 Reorder the terms: -119 + 5y = 5(-4 + 3y) + -9 -119 + 5y = (-4 * 5 + 3y * 5) + -9 -119 + 5y = (-20 + 15y) + -9 Reorder the terms: -119 + 5y = -20 + -9 + 15y Combine like terms: -20 + -9 = -29 -119 + 5y = -29 + 15y Solving -119 + 5y = -29 + 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. -119 + 5y + -15y = -29 + 15y + -15y Combine like terms: 5y + -15y = -10y -119 + -10y = -29 + 15y + -15y Combine like terms: 15y + -15y = 0 -119 + -10y = -29 + 0 -119 + -10y = -29 Add '119' to each side of the equation. -119 + 119 + -10y = -29 + 119 Combine like terms: -119 + 119 = 0 0 + -10y = -29 + 119 -10y = -29 + 119 Combine like terms: -29 + 119 = 90 -10y = 90 Divide each side by '-10'. y = -9 Simplifying y = -9
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