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Simplifying 5y + 15 = -12y + -21 + 8y Reorder the terms: 15 + 5y = -12y + -21 + 8y Reorder the terms: 15 + 5y = -21 + -12y + 8y Combine like terms: -12y + 8y = -4y 15 + 5y = -21 + -4y Solving 15 + 5y = -21 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 15 + 5y + 4y = -21 + -4y + 4y Combine like terms: 5y + 4y = 9y 15 + 9y = -21 + -4y + 4y Combine like terms: -4y + 4y = 0 15 + 9y = -21 + 0 15 + 9y = -21 Add '-15' to each side of the equation. 15 + -15 + 9y = -21 + -15 Combine like terms: 15 + -15 = 0 0 + 9y = -21 + -15 9y = -21 + -15 Combine like terms: -21 + -15 = -36 9y = -36 Divide each side by '9'. y = -4 Simplifying y = -4
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