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Simplifying 3(y + 5) = -2(6y + -5) + 5y Reorder the terms: 3(5 + y) = -2(6y + -5) + 5y (5 * 3 + y * 3) = -2(6y + -5) + 5y (15 + 3y) = -2(6y + -5) + 5y Reorder the terms: 15 + 3y = -2(-5 + 6y) + 5y 15 + 3y = (-5 * -2 + 6y * -2) + 5y 15 + 3y = (10 + -12y) + 5y Combine like terms: -12y + 5y = -7y 15 + 3y = 10 + -7y Solving 15 + 3y = 10 + -7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '7y' to each side of the equation. 15 + 3y + 7y = 10 + -7y + 7y Combine like terms: 3y + 7y = 10y 15 + 10y = 10 + -7y + 7y Combine like terms: -7y + 7y = 0 15 + 10y = 10 + 0 15 + 10y = 10 Add '-15' to each side of the equation. 15 + -15 + 10y = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 10y = 10 + -15 10y = 10 + -15 Combine like terms: 10 + -15 = -5 10y = -5 Divide each side by '10'. y = -0.5 Simplifying y = -0.5
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