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Simplifying -38 = -5y + 3(y + -8) Reorder the terms: -38 = -5y + 3(-8 + y) -38 = -5y + (-8 * 3 + y * 3) -38 = -5y + (-24 + 3y) Reorder the terms: -38 = -24 + -5y + 3y Combine like terms: -5y + 3y = -2y -38 = -24 + -2y Solving -38 = -24 + -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 = -24 + -2y + 2y Combine like terms: -2y + 2y = 0 -38 + 2y = -24 + 0 -38 + 2y = -24 Add '38' to each side of the equation. -38 + 38 + 2y = -24 + 38 Combine like terms: -38 + 38 = 0 0 + 2y = -24 + 38 2y = -24 + 38 Combine like terms: -24 + 38 = 14 2y = 14 Divide each side by '2'. y = 7 Simplifying y = 7
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