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Simplifying 8y + 2(6 + y) = 2(y + -2) 8y + (6 * 2 + y * 2) = 2(y + -2) 8y + (12 + 2y) = 2(y + -2) Reorder the terms: 12 + 8y + 2y = 2(y + -2) Combine like terms: 8y + 2y = 10y 12 + 10y = 2(y + -2) Reorder the terms: 12 + 10y = 2(-2 + y) 12 + 10y = (-2 * 2 + y * 2) 12 + 10y = (-4 + 2y) Solving 12 + 10y = -4 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. 12 + 10y + -2y = -4 + 2y + -2y Combine like terms: 10y + -2y = 8y 12 + 8y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 12 + 8y = -4 + 0 12 + 8y = -4 Add '-12' to each side of the equation. 12 + -12 + 8y = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 8y = -4 + -12 8y = -4 + -12 Combine like terms: -4 + -12 = -16 8y = -16 Divide each side by '8'. y = -2 Simplifying y = -2
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