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Simplifying 2y + 12 = -3(2y + 8) Reorder the terms: 12 + 2y = -3(2y + 8) Reorder the terms: 12 + 2y = -3(8 + 2y) 12 + 2y = (8 * -3 + 2y * -3) 12 + 2y = (-24 + -6y) Solving 12 + 2y = -24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 12 + 2y + 6y = -24 + -6y + 6y Combine like terms: 2y + 6y = 8y 12 + 8y = -24 + -6y + 6y Combine like terms: -6y + 6y = 0 12 + 8y = -24 + 0 12 + 8y = -24 Add '-12' to each side of the equation. 12 + -12 + 8y = -24 + -12 Combine like terms: 12 + -12 = 0 0 + 8y = -24 + -12 8y = -24 + -12 Combine like terms: -24 + -12 = -36 8y = -36 Divide each side by '8'. y = -4.5 Simplifying y = -4.5
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