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Simplifying 6y + -17 = 10y + 47 Reorder the terms: -17 + 6y = 10y + 47 Reorder the terms: -17 + 6y = 47 + 10y Solving -17 + 6y = 47 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -17 + 6y + -10y = 47 + 10y + -10y Combine like terms: 6y + -10y = -4y -17 + -4y = 47 + 10y + -10y Combine like terms: 10y + -10y = 0 -17 + -4y = 47 + 0 -17 + -4y = 47 Add '17' to each side of the equation. -17 + 17 + -4y = 47 + 17 Combine like terms: -17 + 17 = 0 0 + -4y = 47 + 17 -4y = 47 + 17 Combine like terms: 47 + 17 = 64 -4y = 64 Divide each side by '-4'. y = -16 Simplifying y = -16
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