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Simplifying 6(y + 9) + 5 = 7y + -3 Reorder the terms: 6(9 + y) + 5 = 7y + -3 (9 * 6 + y * 6) + 5 = 7y + -3 (54 + 6y) + 5 = 7y + -3 Reorder the terms: 54 + 5 + 6y = 7y + -3 Combine like terms: 54 + 5 = 59 59 + 6y = 7y + -3 Reorder the terms: 59 + 6y = -3 + 7y Solving 59 + 6y = -3 + 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. 59 + 6y + -7y = -3 + 7y + -7y Combine like terms: 6y + -7y = -1y 59 + -1y = -3 + 7y + -7y Combine like terms: 7y + -7y = 0 59 + -1y = -3 + 0 59 + -1y = -3 Add '-59' to each side of the equation. 59 + -59 + -1y = -3 + -59 Combine like terms: 59 + -59 = 0 0 + -1y = -3 + -59 -1y = -3 + -59 Combine like terms: -3 + -59 = -62 -1y = -62 Divide each side by '-1'. y = 62 Simplifying y = 62
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