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Simplifying 2(y + 6) + -2(y + 1) = 4 + 2(y + -1) Reorder the terms: 2(6 + y) + -2(y + 1) = 4 + 2(y + -1) (6 * 2 + y * 2) + -2(y + 1) = 4 + 2(y + -1) (12 + 2y) + -2(y + 1) = 4 + 2(y + -1) Reorder the terms: 12 + 2y + -2(1 + y) = 4 + 2(y + -1) 12 + 2y + (1 * -2 + y * -2) = 4 + 2(y + -1) 12 + 2y + (-2 + -2y) = 4 + 2(y + -1) Reorder the terms: 12 + -2 + 2y + -2y = 4 + 2(y + -1) Combine like terms: 12 + -2 = 10 10 + 2y + -2y = 4 + 2(y + -1) Combine like terms: 2y + -2y = 0 10 + 0 = 4 + 2(y + -1) 10 = 4 + 2(y + -1) Reorder the terms: 10 = 4 + 2(-1 + y) 10 = 4 + (-1 * 2 + y * 2) 10 = 4 + (-2 + 2y) Combine like terms: 4 + -2 = 2 10 = 2 + 2y Solving 10 = 2 + 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. 10 + -2y = 2 + 2y + -2y Combine like terms: 2y + -2y = 0 10 + -2y = 2 + 0 10 + -2y = 2 Add '-10' to each side of the equation. 10 + -10 + -2y = 2 + -10 Combine like terms: 10 + -10 = 0 0 + -2y = 2 + -10 -2y = 2 + -10 Combine like terms: 2 + -10 = -8 -2y = -8 Divide each side by '-2'. y = 4 Simplifying y = 4
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