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Simplifying 5y + -3 = 13y + 47 Reorder the terms: -3 + 5y = 13y + 47 Reorder the terms: -3 + 5y = 47 + 13y Solving -3 + 5y = 47 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -3 + 5y + -13y = 47 + 13y + -13y Combine like terms: 5y + -13y = -8y -3 + -8y = 47 + 13y + -13y Combine like terms: 13y + -13y = 0 -3 + -8y = 47 + 0 -3 + -8y = 47 Add '3' to each side of the equation. -3 + 3 + -8y = 47 + 3 Combine like terms: -3 + 3 = 0 0 + -8y = 47 + 3 -8y = 47 + 3 Combine like terms: 47 + 3 = 50 -8y = 50 Divide each side by '-8'. y = -6.25 Simplifying y = -6.25
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