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Simplifying -12 = 5y + 8(y + 5) Reorder the terms: -12 = 5y + 8(5 + y) -12 = 5y + (5 * 8 + y * 8) -12 = 5y + (40 + 8y) Reorder the terms: -12 = 40 + 5y + 8y Combine like terms: 5y + 8y = 13y -12 = 40 + 13y Solving -12 = 40 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. -12 + -13y = 40 + 13y + -13y Combine like terms: 13y + -13y = 0 -12 + -13y = 40 + 0 -12 + -13y = 40 Add '12' to each side of the equation. -12 + 12 + -13y = 40 + 12 Combine like terms: -12 + 12 = 0 0 + -13y = 40 + 12 -13y = 40 + 12 Combine like terms: 40 + 12 = 52 -13y = 52 Divide each side by '-13'. y = -4 Simplifying y = -4
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