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Simplifying 2(6 + -1y) + 1 = 20 + -1(y + -12) + -2y (6 * 2 + -1y * 2) + 1 = 20 + -1(y + -12) + -2y (12 + -2y) + 1 = 20 + -1(y + -12) + -2y Reorder the terms: 12 + 1 + -2y = 20 + -1(y + -12) + -2y Combine like terms: 12 + 1 = 13 13 + -2y = 20 + -1(y + -12) + -2y Reorder the terms: 13 + -2y = 20 + -1(-12 + y) + -2y 13 + -2y = 20 + (-12 * -1 + y * -1) + -2y 13 + -2y = 20 + (12 + -1y) + -2y Combine like terms: 20 + 12 = 32 13 + -2y = 32 + -1y + -2y Combine like terms: -1y + -2y = -3y 13 + -2y = 32 + -3y Solving 13 + -2y = 32 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 13 + -2y + 3y = 32 + -3y + 3y Combine like terms: -2y + 3y = 1y 13 + 1y = 32 + -3y + 3y Combine like terms: -3y + 3y = 0 13 + 1y = 32 + 0 13 + 1y = 32 Add '-13' to each side of the equation. 13 + -13 + 1y = 32 + -13 Combine like terms: 13 + -13 = 0 0 + 1y = 32 + -13 1y = 32 + -13 Combine like terms: 32 + -13 = 19 1y = 19 Divide each side by '1'. y = 19 Simplifying y = 19
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