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Simplifying -2y + 2 = 2 + -2(2y + 6) Reorder the terms: 2 + -2y = 2 + -2(2y + 6) Reorder the terms: 2 + -2y = 2 + -2(6 + 2y) 2 + -2y = 2 + (6 * -2 + 2y * -2) 2 + -2y = 2 + (-12 + -4y) Combine like terms: 2 + -12 = -10 2 + -2y = -10 + -4y Solving 2 + -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. 2 + -2y + 4y = -10 + -4y + 4y Combine like terms: -2y + 4y = 2y 2 + 2y = -10 + -4y + 4y Combine like terms: -4y + 4y = 0 2 + 2y = -10 + 0 2 + 2y = -10 Add '-2' to each side of the equation. 2 + -2 + 2y = -10 + -2 Combine like terms: 2 + -2 = 0 0 + 2y = -10 + -2 2y = -10 + -2 Combine like terms: -10 + -2 = -12 2y = -12 Divide each side by '2'. y = -6 Simplifying y = -6
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