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Simplifying -47 + 18y + 2 = 5(5y + -2) + -7 Reorder the terms: -47 + 2 + 18y = 5(5y + -2) + -7 Combine like terms: -47 + 2 = -45 -45 + 18y = 5(5y + -2) + -7 Reorder the terms: -45 + 18y = 5(-2 + 5y) + -7 -45 + 18y = (-2 * 5 + 5y * 5) + -7 -45 + 18y = (-10 + 25y) + -7 Reorder the terms: -45 + 18y = -10 + -7 + 25y Combine like terms: -10 + -7 = -17 -45 + 18y = -17 + 25y Solving -45 + 18y = -17 + 25y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-25y' to each side of the equation. -45 + 18y + -25y = -17 + 25y + -25y Combine like terms: 18y + -25y = -7y -45 + -7y = -17 + 25y + -25y Combine like terms: 25y + -25y = 0 -45 + -7y = -17 + 0 -45 + -7y = -17 Add '45' to each side of the equation. -45 + 45 + -7y = -17 + 45 Combine like terms: -45 + 45 = 0 0 + -7y = -17 + 45 -7y = -17 + 45 Combine like terms: -17 + 45 = 28 -7y = 28 Divide each side by '-7'. y = -4 Simplifying y = -4
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