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Simplifying 3y + -21 = 8y + 52 Reorder the terms: -21 + 3y = 8y + 52 Reorder the terms: -21 + 3y = 52 + 8y Solving -21 + 3y = 52 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -21 + 3y + -8y = 52 + 8y + -8y Combine like terms: 3y + -8y = -5y -21 + -5y = 52 + 8y + -8y Combine like terms: 8y + -8y = 0 -21 + -5y = 52 + 0 -21 + -5y = 52 Add '21' to each side of the equation. -21 + 21 + -5y = 52 + 21 Combine like terms: -21 + 21 = 0 0 + -5y = 52 + 21 -5y = 52 + 21 Combine like terms: 52 + 21 = 73 -5y = 73 Divide each side by '-5'. y = -14.6 Simplifying y = -14.6
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