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Simplifying 4y + 26 = -2(y + 8) Reorder the terms: 26 + 4y = -2(y + 8) Reorder the terms: 26 + 4y = -2(8 + y) 26 + 4y = (8 * -2 + y * -2) 26 + 4y = (-16 + -2y) Solving 26 + 4y = -16 + -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. 26 + 4y + 2y = -16 + -2y + 2y Combine like terms: 4y + 2y = 6y 26 + 6y = -16 + -2y + 2y Combine like terms: -2y + 2y = 0 26 + 6y = -16 + 0 26 + 6y = -16 Add '-26' to each side of the equation. 26 + -26 + 6y = -16 + -26 Combine like terms: 26 + -26 = 0 0 + 6y = -16 + -26 6y = -16 + -26 Combine like terms: -16 + -26 = -42 6y = -42 Divide each side by '6'. y = -7 Simplifying y = -7
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