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Simplifying 8y + -38 = -5(y + 5) Reorder the terms: -38 + 8y = -5(y + 5) Reorder the terms: -38 + 8y = -5(5 + y) -38 + 8y = (5 * -5 + y * -5) -38 + 8y = (-25 + -5y) Solving -38 + 8y = -25 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -38 + 8y + 5y = -25 + -5y + 5y Combine like terms: 8y + 5y = 13y -38 + 13y = -25 + -5y + 5y Combine like terms: -5y + 5y = 0 -38 + 13y = -25 + 0 -38 + 13y = -25 Add '38' to each side of the equation. -38 + 38 + 13y = -25 + 38 Combine like terms: -38 + 38 = 0 0 + 13y = -25 + 38 13y = -25 + 38 Combine like terms: -25 + 38 = 13 13y = 13 Divide each side by '13'. y = 1 Simplifying y = 1
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