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Simplifying 2 + 5(-5y + -3) = -2(7y + -3) + 3 Reorder the terms: 2 + 5(-3 + -5y) = -2(7y + -3) + 3 2 + (-3 * 5 + -5y * 5) = -2(7y + -3) + 3 2 + (-15 + -25y) = -2(7y + -3) + 3 Combine like terms: 2 + -15 = -13 -13 + -25y = -2(7y + -3) + 3 Reorder the terms: -13 + -25y = -2(-3 + 7y) + 3 -13 + -25y = (-3 * -2 + 7y * -2) + 3 -13 + -25y = (6 + -14y) + 3 Reorder the terms: -13 + -25y = 6 + 3 + -14y Combine like terms: 6 + 3 = 9 -13 + -25y = 9 + -14y Solving -13 + -25y = 9 + -14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '14y' to each side of the equation. -13 + -25y + 14y = 9 + -14y + 14y Combine like terms: -25y + 14y = -11y -13 + -11y = 9 + -14y + 14y Combine like terms: -14y + 14y = 0 -13 + -11y = 9 + 0 -13 + -11y = 9 Add '13' to each side of the equation. -13 + 13 + -11y = 9 + 13 Combine like terms: -13 + 13 = 0 0 + -11y = 9 + 13 -11y = 9 + 13 Combine like terms: 9 + 13 = 22 -11y = 22 Divide each side by '-11'. y = -2 Simplifying y = -2
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