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Simplifying -38 = -8y + 6(y + -8) Reorder the terms: -38 = -8y + 6(-8 + y) -38 = -8y + (-8 * 6 + y * 6) -38 = -8y + (-48 + 6y) Reorder the terms: -38 = -48 + -8y + 6y Combine like terms: -8y + 6y = -2y -38 = -48 + -2y Solving -38 = -48 + -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 = -48 + -2y + 2y Combine like terms: -2y + 2y = 0 -38 + 2y = -48 + 0 -38 + 2y = -48 Add '38' to each side of the equation. -38 + 38 + 2y = -48 + 38 Combine like terms: -38 + 38 = 0 0 + 2y = -48 + 38 2y = -48 + 38 Combine like terms: -48 + 38 = -10 2y = -10 Divide each side by '2'. y = -5 Simplifying y = -5
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