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Simplifying -38 = -8 + 6 + -1(y + -2) Reorder the terms: -38 = -8 + 6 + -1(-2 + y) -38 = -8 + 6 + (-2 * -1 + y * -1) -38 = -8 + 6 + (2 + -1y) Combine like terms: -8 + 6 = -2 -38 = -2 + 2 + -1y Combine like terms: -2 + 2 = 0 -38 = 0 + -1y -38 = -1y Solving -38 = -1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add 'y' to each side of the equation. -38 + y = -1y + y Combine like terms: -1y + y = 0 -38 + y = 0 Add '38' to each side of the equation. -38 + 38 + y = 0 + 38 Combine like terms: -38 + 38 = 0 0 + y = 0 + 38 y = 0 + 38 Combine like terms: 0 + 38 = 38 y = 38 Simplifying y = 38
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