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Simplifying 4y + 8y + -2y + -10 + 2 = -7y + 2y + 47 Reorder the terms: -10 + 2 + 4y + 8y + -2y = -7y + 2y + 47 Combine like terms: -10 + 2 = -8 -8 + 4y + 8y + -2y = -7y + 2y + 47 Combine like terms: 4y + 8y = 12y -8 + 12y + -2y = -7y + 2y + 47 Combine like terms: 12y + -2y = 10y -8 + 10y = -7y + 2y + 47 Reorder the terms: -8 + 10y = 47 + -7y + 2y Combine like terms: -7y + 2y = -5y -8 + 10y = 47 + -5y Solving -8 + 10y = 47 + -5y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5y' to each side of the equation. -8 + 10y + 5y = 47 + -5y + 5y Combine like terms: 10y + 5y = 15y -8 + 15y = 47 + -5y + 5y Combine like terms: -5y + 5y = 0 -8 + 15y = 47 + 0 -8 + 15y = 47 Add '8' to each side of the equation. -8 + 8 + 15y = 47 + 8 Combine like terms: -8 + 8 = 0 0 + 15y = 47 + 8 15y = 47 + 8 Combine like terms: 47 + 8 = 55 15y = 55 Divide each side by '15'. y = 3.666666667 Simplifying y = 3.666666667
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