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Simplifying 5y + -1(7y + 5) = 7 + -1(10y + -9) Reorder the terms: 5y + -1(5 + 7y) = 7 + -1(10y + -9) 5y + (5 * -1 + 7y * -1) = 7 + -1(10y + -9) 5y + (-5 + -7y) = 7 + -1(10y + -9) Reorder the terms: -5 + 5y + -7y = 7 + -1(10y + -9) Combine like terms: 5y + -7y = -2y -5 + -2y = 7 + -1(10y + -9) Reorder the terms: -5 + -2y = 7 + -1(-9 + 10y) -5 + -2y = 7 + (-9 * -1 + 10y * -1) -5 + -2y = 7 + (9 + -10y) Combine like terms: 7 + 9 = 16 -5 + -2y = 16 + -10y Solving -5 + -2y = 16 + -10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '10y' to each side of the equation. -5 + -2y + 10y = 16 + -10y + 10y Combine like terms: -2y + 10y = 8y -5 + 8y = 16 + -10y + 10y Combine like terms: -10y + 10y = 0 -5 + 8y = 16 + 0 -5 + 8y = 16 Add '5' to each side of the equation. -5 + 5 + 8y = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 8y = 16 + 5 8y = 16 + 5 Combine like terms: 16 + 5 = 21 8y = 21 Divide each side by '8'. y = 2.625 Simplifying y = 2.625
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