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Simplifying -5y + -2 = 3y + 54 Reorder the terms: -2 + -5y = 3y + 54 Reorder the terms: -2 + -5y = 54 + 3y Solving -2 + -5y = 54 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -2 + -5y + -3y = 54 + 3y + -3y Combine like terms: -5y + -3y = -8y -2 + -8y = 54 + 3y + -3y Combine like terms: 3y + -3y = 0 -2 + -8y = 54 + 0 -2 + -8y = 54 Add '2' to each side of the equation. -2 + 2 + -8y = 54 + 2 Combine like terms: -2 + 2 = 0 0 + -8y = 54 + 2 -8y = 54 + 2 Combine like terms: 54 + 2 = 56 -8y = 56 Divide each side by '-8'. y = -7 Simplifying y = -7
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