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Simplifying 8y + 12 = 3(y + -1) Reorder the terms: 12 + 8y = 3(y + -1) Reorder the terms: 12 + 8y = 3(-1 + y) 12 + 8y = (-1 * 3 + y * 3) 12 + 8y = (-3 + 3y) Solving 12 + 8y = -3 + 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. 12 + 8y + -3y = -3 + 3y + -3y Combine like terms: 8y + -3y = 5y 12 + 5y = -3 + 3y + -3y Combine like terms: 3y + -3y = 0 12 + 5y = -3 + 0 12 + 5y = -3 Add '-12' to each side of the equation. 12 + -12 + 5y = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 5y = -3 + -12 5y = -3 + -12 Combine like terms: -3 + -12 = -15 5y = -15 Divide each side by '5'. y = -3 Simplifying y = -3
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