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Simplifying 3y + 12 = 8y + 3x + -15 Reorder the terms: 12 + 3y = 8y + 3x + -15 Reorder the terms: 12 + 3y = -15 + 3x + 8y Solving 12 + 3y = -15 + 3x + 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. 12 + 3y + -8y = -15 + 3x + 8y + -8y Combine like terms: 3y + -8y = -5y 12 + -5y = -15 + 3x + 8y + -8y Combine like terms: 8y + -8y = 0 12 + -5y = -15 + 3x + 0 12 + -5y = -15 + 3x Add '-12' to each side of the equation. 12 + -12 + -5y = -15 + -12 + 3x Combine like terms: 12 + -12 = 0 0 + -5y = -15 + -12 + 3x -5y = -15 + -12 + 3x Combine like terms: -15 + -12 = -27 -5y = -27 + 3x Divide each side by '-5'. y = 5.4 + -0.6x Simplifying y = 5.4 + -0.6x
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