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Simplifying -3(5) + 7y = 5(-5) + 2y Multiply -3 * 5 -15 + 7y = 5(-5) + 2y Multiply 5 * -5 -15 + 7y = -25 + 2y Solving -15 + 7y = -25 + 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. -15 + 7y + -2y = -25 + 2y + -2y Combine like terms: 7y + -2y = 5y -15 + 5y = -25 + 2y + -2y Combine like terms: 2y + -2y = 0 -15 + 5y = -25 + 0 -15 + 5y = -25 Add '15' to each side of the equation. -15 + 15 + 5y = -25 + 15 Combine like terms: -15 + 15 = 0 0 + 5y = -25 + 15 5y = -25 + 15 Combine like terms: -25 + 15 = -10 5y = -10 Divide each side by '5'. y = -2 Simplifying y = -2
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