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Simplifying -58 + 27y + 4 = 6(5y + -5) + -9 Reorder the terms: -58 + 4 + 27y = 6(5y + -5) + -9 Combine like terms: -58 + 4 = -54 -54 + 27y = 6(5y + -5) + -9 Reorder the terms: -54 + 27y = 6(-5 + 5y) + -9 -54 + 27y = (-5 * 6 + 5y * 6) + -9 -54 + 27y = (-30 + 30y) + -9 Reorder the terms: -54 + 27y = -30 + -9 + 30y Combine like terms: -30 + -9 = -39 -54 + 27y = -39 + 30y Solving -54 + 27y = -39 + 30y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-30y' to each side of the equation. -54 + 27y + -30y = -39 + 30y + -30y Combine like terms: 27y + -30y = -3y -54 + -3y = -39 + 30y + -30y Combine like terms: 30y + -30y = 0 -54 + -3y = -39 + 0 -54 + -3y = -39 Add '54' to each side of the equation. -54 + 54 + -3y = -39 + 54 Combine like terms: -54 + 54 = 0 0 + -3y = -39 + 54 -3y = -39 + 54 Combine like terms: -39 + 54 = 15 -3y = 15 Divide each side by '-3'. y = -5 Simplifying y = -5
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