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Simplifying 6(6y + -1) + -21 = 3(5y + -3) + -5 Reorder the terms: 6(-1 + 6y) + -21 = 3(5y + -3) + -5 (-1 * 6 + 6y * 6) + -21 = 3(5y + -3) + -5 (-6 + 36y) + -21 = 3(5y + -3) + -5 Reorder the terms: -6 + -21 + 36y = 3(5y + -3) + -5 Combine like terms: -6 + -21 = -27 -27 + 36y = 3(5y + -3) + -5 Reorder the terms: -27 + 36y = 3(-3 + 5y) + -5 -27 + 36y = (-3 * 3 + 5y * 3) + -5 -27 + 36y = (-9 + 15y) + -5 Reorder the terms: -27 + 36y = -9 + -5 + 15y Combine like terms: -9 + -5 = -14 -27 + 36y = -14 + 15y Solving -27 + 36y = -14 + 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. -27 + 36y + -15y = -14 + 15y + -15y Combine like terms: 36y + -15y = 21y -27 + 21y = -14 + 15y + -15y Combine like terms: 15y + -15y = 0 -27 + 21y = -14 + 0 -27 + 21y = -14 Add '27' to each side of the equation. -27 + 27 + 21y = -14 + 27 Combine like terms: -27 + 27 = 0 0 + 21y = -14 + 27 21y = -14 + 27 Combine like terms: -14 + 27 = 13 21y = 13 Divide each side by '21'. y = 0.619047619 Simplifying y = 0.619047619
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