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Simplifying -5y + -38 = 8(y + -8) Reorder the terms: -38 + -5y = 8(y + -8) Reorder the terms: -38 + -5y = 8(-8 + y) -38 + -5y = (-8 * 8 + y * 8) -38 + -5y = (-64 + 8y) Solving -38 + -5y = -64 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -38 + -5y + -8y = -64 + 8y + -8y Combine like terms: -5y + -8y = -13y -38 + -13y = -64 + 8y + -8y Combine like terms: 8y + -8y = 0 -38 + -13y = -64 + 0 -38 + -13y = -64 Add '38' to each side of the equation. -38 + 38 + -13y = -64 + 38 Combine like terms: -38 + 38 = 0 0 + -13y = -64 + 38 -13y = -64 + 38 Combine like terms: -64 + 38 = -26 -13y = -26 Divide each side by '-13'. y = 2 Simplifying y = 2
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