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Simplifying 7 + (10y + -5) = 8y + -1(13 + 6y) Reorder the terms: 7 + (-5 + 10y) = 8y + -1(13 + 6y) Remove parenthesis around (-5 + 10y) 7 + -5 + 10y = 8y + -1(13 + 6y) Combine like terms: 7 + -5 = 2 2 + 10y = 8y + -1(13 + 6y) 2 + 10y = 8y + (13 * -1 + 6y * -1) 2 + 10y = 8y + (-13 + -6y) Reorder the terms: 2 + 10y = -13 + 8y + -6y Combine like terms: 8y + -6y = 2y 2 + 10y = -13 + 2y Solving 2 + 10y = -13 + 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. 2 + 10y + -2y = -13 + 2y + -2y Combine like terms: 10y + -2y = 8y 2 + 8y = -13 + 2y + -2y Combine like terms: 2y + -2y = 0 2 + 8y = -13 + 0 2 + 8y = -13 Add '-2' to each side of the equation. 2 + -2 + 8y = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 8y = -13 + -2 8y = -13 + -2 Combine like terms: -13 + -2 = -15 8y = -15 Divide each side by '8'. y = -1.875 Simplifying y = -1.875
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