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Simplifying y + 8y + 4 = 6y + -3 + 4y Reorder the terms: 4 + y + 8y = 6y + -3 + 4y Combine like terms: y + 8y = 9y 4 + 9y = 6y + -3 + 4y Reorder the terms: 4 + 9y = -3 + 6y + 4y Combine like terms: 6y + 4y = 10y 4 + 9y = -3 + 10y Solving 4 + 9y = -3 + 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. 4 + 9y + -10y = -3 + 10y + -10y Combine like terms: 9y + -10y = -1y 4 + -1y = -3 + 10y + -10y Combine like terms: 10y + -10y = 0 4 + -1y = -3 + 0 4 + -1y = -3 Add '-4' to each side of the equation. 4 + -4 + -1y = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = -3 + -4 -1y = -3 + -4 Combine like terms: -3 + -4 = -7 -1y = -7 Divide each side by '-1'. y = 7 Simplifying y = 7
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