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Simplifying 3(y + -5) + -5y = 5y + 6 Reorder the terms: 3(-5 + y) + -5y = 5y + 6 (-5 * 3 + y * 3) + -5y = 5y + 6 (-15 + 3y) + -5y = 5y + 6 Combine like terms: 3y + -5y = -2y -15 + -2y = 5y + 6 Reorder the terms: -15 + -2y = 6 + 5y Solving -15 + -2y = 6 + 5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-5y' to each side of the equation. -15 + -2y + -5y = 6 + 5y + -5y Combine like terms: -2y + -5y = -7y -15 + -7y = 6 + 5y + -5y Combine like terms: 5y + -5y = 0 -15 + -7y = 6 + 0 -15 + -7y = 6 Add '15' to each side of the equation. -15 + 15 + -7y = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -7y = 6 + 15 -7y = 6 + 15 Combine like terms: 6 + 15 = 21 -7y = 21 Divide each side by '-7'. y = -3 Simplifying y = -3
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