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Simplifying -59 + 21y + 8 = 5(5y + -4) + -3 Reorder the terms: -59 + 8 + 21y = 5(5y + -4) + -3 Combine like terms: -59 + 8 = -51 -51 + 21y = 5(5y + -4) + -3 Reorder the terms: -51 + 21y = 5(-4 + 5y) + -3 -51 + 21y = (-4 * 5 + 5y * 5) + -3 -51 + 21y = (-20 + 25y) + -3 Reorder the terms: -51 + 21y = -20 + -3 + 25y Combine like terms: -20 + -3 = -23 -51 + 21y = -23 + 25y Solving -51 + 21y = -23 + 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. -51 + 21y + -25y = -23 + 25y + -25y Combine like terms: 21y + -25y = -4y -51 + -4y = -23 + 25y + -25y Combine like terms: 25y + -25y = 0 -51 + -4y = -23 + 0 -51 + -4y = -23 Add '51' to each side of the equation. -51 + 51 + -4y = -23 + 51 Combine like terms: -51 + 51 = 0 0 + -4y = -23 + 51 -4y = -23 + 51 Combine like terms: -23 + 51 = 28 -4y = 28 Divide each side by '-4'. y = -7 Simplifying y = -7
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