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Simplifying 10y + -7y + -1 = 4y + -9 Reorder the terms: -1 + 10y + -7y = 4y + -9 Combine like terms: 10y + -7y = 3y -1 + 3y = 4y + -9 Reorder the terms: -1 + 3y = -9 + 4y Solving -1 + 3y = -9 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -1 + 3y + -4y = -9 + 4y + -4y Combine like terms: 3y + -4y = -1y -1 + -1y = -9 + 4y + -4y Combine like terms: 4y + -4y = 0 -1 + -1y = -9 + 0 -1 + -1y = -9 Add '1' to each side of the equation. -1 + 1 + -1y = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -1y = -9 + 1 -1y = -9 + 1 Combine like terms: -9 + 1 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8
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