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Simplifying 3(5y + -7) + 6 = 47 Reorder the terms: 3(-7 + 5y) + 6 = 47 (-7 * 3 + 5y * 3) + 6 = 47 (-21 + 15y) + 6 = 47 Reorder the terms: -21 + 6 + 15y = 47 Combine like terms: -21 + 6 = -15 -15 + 15y = 47 Solving -15 + 15y = 47 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 15y = 47 + 15 Combine like terms: -15 + 15 = 0 0 + 15y = 47 + 15 15y = 47 + 15 Combine like terms: 47 + 15 = 62 15y = 62 Divide each side by '15'. y = 4.133333333 Simplifying y = 4.133333333
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