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Simplifying 5(2y + -3) = 7y Reorder the terms: 5(-3 + 2y) = 7y (-3 * 5 + 2y * 5) = 7y (-15 + 10y) = 7y Solving -15 + 10y = 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 + 10y + -7y = 7y + -7y Combine like terms: 10y + -7y = 3y -15 + 3y = 7y + -7y Combine like terms: 7y + -7y = 0 -15 + 3y = 0 Add '15' to each side of the equation. -15 + 15 + 3y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 3y = 0 + 15 3y = 0 + 15 Combine like terms: 0 + 15 = 15 3y = 15 Divide each side by '3'. y = 5 Simplifying y = 5
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