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Simplifying 2y + 8 = 12 + -6(y + 7) Reorder the terms: 8 + 2y = 12 + -6(y + 7) Reorder the terms: 8 + 2y = 12 + -6(7 + y) 8 + 2y = 12 + (7 * -6 + y * -6) 8 + 2y = 12 + (-42 + -6y) Combine like terms: 12 + -42 = -30 8 + 2y = -30 + -6y Solving 8 + 2y = -30 + -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. 8 + 2y + 6y = -30 + -6y + 6y Combine like terms: 2y + 6y = 8y 8 + 8y = -30 + -6y + 6y Combine like terms: -6y + 6y = 0 8 + 8y = -30 + 0 8 + 8y = -30 Add '-8' to each side of the equation. 8 + -8 + 8y = -30 + -8 Combine like terms: 8 + -8 = 0 0 + 8y = -30 + -8 8y = -30 + -8 Combine like terms: -30 + -8 = -38 8y = -38 Divide each side by '8'. y = -4.75 Simplifying y = -4.75
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