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Simplifying -54 + 10y + 8 = 5(3y + -2) + -6 Reorder the terms: -54 + 8 + 10y = 5(3y + -2) + -6 Combine like terms: -54 + 8 = -46 -46 + 10y = 5(3y + -2) + -6 Reorder the terms: -46 + 10y = 5(-2 + 3y) + -6 -46 + 10y = (-2 * 5 + 3y * 5) + -6 -46 + 10y = (-10 + 15y) + -6 Reorder the terms: -46 + 10y = -10 + -6 + 15y Combine like terms: -10 + -6 = -16 -46 + 10y = -16 + 15y Solving -46 + 10y = -16 + 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. -46 + 10y + -15y = -16 + 15y + -15y Combine like terms: 10y + -15y = -5y -46 + -5y = -16 + 15y + -15y Combine like terms: 15y + -15y = 0 -46 + -5y = -16 + 0 -46 + -5y = -16 Add '46' to each side of the equation. -46 + 46 + -5y = -16 + 46 Combine like terms: -46 + 46 = 0 0 + -5y = -16 + 46 -5y = -16 + 46 Combine like terms: -16 + 46 = 30 -5y = 30 Divide each side by '-5'. y = -6 Simplifying y = -6
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