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Simplifying 2(2y + 2) + -1(3y + -2) = -12 + -1(4y + 2) Reorder the terms: 2(2 + 2y) + -1(3y + -2) = -12 + -1(4y + 2) (2 * 2 + 2y * 2) + -1(3y + -2) = -12 + -1(4y + 2) (4 + 4y) + -1(3y + -2) = -12 + -1(4y + 2) Reorder the terms: 4 + 4y + -1(-2 + 3y) = -12 + -1(4y + 2) 4 + 4y + (-2 * -1 + 3y * -1) = -12 + -1(4y + 2) 4 + 4y + (2 + -3y) = -12 + -1(4y + 2) Reorder the terms: 4 + 2 + 4y + -3y = -12 + -1(4y + 2) Combine like terms: 4 + 2 = 6 6 + 4y + -3y = -12 + -1(4y + 2) Combine like terms: 4y + -3y = 1y 6 + 1y = -12 + -1(4y + 2) Reorder the terms: 6 + 1y = -12 + -1(2 + 4y) 6 + 1y = -12 + (2 * -1 + 4y * -1) 6 + 1y = -12 + (-2 + -4y) Combine like terms: -12 + -2 = -14 6 + 1y = -14 + -4y Solving 6 + 1y = -14 + -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 + 1y + 4y = -14 + -4y + 4y Combine like terms: 1y + 4y = 5y 6 + 5y = -14 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + 5y = -14 + 0 6 + 5y = -14 Add '-6' to each side of the equation. 6 + -6 + 5y = -14 + -6 Combine like terms: 6 + -6 = 0 0 + 5y = -14 + -6 5y = -14 + -6 Combine like terms: -14 + -6 = -20 5y = -20 Divide each side by '5'. y = -4 Simplifying y = -4
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