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Simplifying -2y + 6 = -2(2y + 5) Reorder the terms: 6 + -2y = -2(2y + 5) Reorder the terms: 6 + -2y = -2(5 + 2y) 6 + -2y = (5 * -2 + 2y * -2) 6 + -2y = (-10 + -4y) Solving 6 + -2y = -10 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 6 + -2y + 4y = -10 + -4y + 4y Combine like terms: -2y + 4y = 2y 6 + 2y = -10 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + 2y = -10 + 0 6 + 2y = -10 Add '-6' to each side of the equation. 6 + -6 + 2y = -10 + -6 Combine like terms: 6 + -6 = 0 0 + 2y = -10 + -6 2y = -10 + -6 Combine like terms: -10 + -6 = -16 2y = -16 Divide each side by '2'. y = -8 Simplifying y = -8
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