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Simplifying 5y + 51 = 3(5y + -3) Reorder the terms: 51 + 5y = 3(5y + -3) Reorder the terms: 51 + 5y = 3(-3 + 5y) 51 + 5y = (-3 * 3 + 5y * 3) 51 + 5y = (-9 + 15y) Solving 51 + 5y = -9 + 15y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-15y' to each side of the equation. 51 + 5y + -15y = -9 + 15y + -15y Combine like terms: 5y + -15y = -10y 51 + -10y = -9 + 15y + -15y Combine like terms: 15y + -15y = 0 51 + -10y = -9 + 0 51 + -10y = -9 Add '-51' to each side of the equation. 51 + -51 + -10y = -9 + -51 Combine like terms: 51 + -51 = 0 0 + -10y = -9 + -51 -10y = -9 + -51 Combine like terms: -9 + -51 = -60 -10y = -60 Divide each side by '-10'. y = 6 Simplifying y = 6
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