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Simplifying -38 = -8y + 6(y + -5) Reorder the terms: -38 = -8y + 6(-5 + y) -38 = -8y + (-5 * 6 + y * 6) -38 = -8y + (-30 + 6y) Reorder the terms: -38 = -30 + -8y + 6y Combine like terms: -8y + 6y = -2y -38 = -30 + -2y Solving -38 = -30 + -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. -38 + 2y = -30 + -2y + 2y Combine like terms: -2y + 2y = 0 -38 + 2y = -30 + 0 -38 + 2y = -30 Add '38' to each side of the equation. -38 + 38 + 2y = -30 + 38 Combine like terms: -38 + 38 = 0 0 + 2y = -30 + 38 2y = -30 + 38 Combine like terms: -30 + 38 = 8 2y = 8 Divide each side by '2'. y = 4 Simplifying y = 4
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