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Simplifying -10 = 6(y + 7) + 7y Reorder the terms: -10 = 6(7 + y) + 7y -10 = (7 * 6 + y * 6) + 7y -10 = (42 + 6y) + 7y Combine like terms: 6y + 7y = 13y -10 = 42 + 13y Solving -10 = 42 + 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. -10 + -13y = 42 + 13y + -13y Combine like terms: 13y + -13y = 0 -10 + -13y = 42 + 0 -10 + -13y = 42 Add '10' to each side of the equation. -10 + 10 + -13y = 42 + 10 Combine like terms: -10 + 10 = 0 0 + -13y = 42 + 10 -13y = 42 + 10 Combine like terms: 42 + 10 = 52 -13y = 52 Divide each side by '-13'. y = -4 Simplifying y = -4
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