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Simplifying -2(y + -8) + 813 = 27 + -3(y + -2) Reorder the terms: -2(-8 + y) + 813 = 27 + -3(y + -2) (-8 * -2 + y * -2) + 813 = 27 + -3(y + -2) (16 + -2y) + 813 = 27 + -3(y + -2) Reorder the terms: 16 + 813 + -2y = 27 + -3(y + -2) Combine like terms: 16 + 813 = 829 829 + -2y = 27 + -3(y + -2) Reorder the terms: 829 + -2y = 27 + -3(-2 + y) 829 + -2y = 27 + (-2 * -3 + y * -3) 829 + -2y = 27 + (6 + -3y) Combine like terms: 27 + 6 = 33 829 + -2y = 33 + -3y Solving 829 + -2y = 33 + -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. 829 + -2y + 3y = 33 + -3y + 3y Combine like terms: -2y + 3y = 1y 829 + 1y = 33 + -3y + 3y Combine like terms: -3y + 3y = 0 829 + 1y = 33 + 0 829 + 1y = 33 Add '-829' to each side of the equation. 829 + -829 + 1y = 33 + -829 Combine like terms: 829 + -829 = 0 0 + 1y = 33 + -829 1y = 33 + -829 Combine like terms: 33 + -829 = -796 1y = -796 Divide each side by '1'. y = -796 Simplifying y = -796
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