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Simplifying 6 + -1(y + 9) = y + 10 Reorder the terms: 6 + -1(9 + y) = y + 10 6 + (9 * -1 + y * -1) = y + 10 6 + (-9 + -1y) = y + 10 Combine like terms: 6 + -9 = -3 -3 + -1y = y + 10 Reorder the terms: -3 + -1y = 10 + y Solving -3 + -1y = 10 + y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -3 + -1y + -1y = 10 + y + -1y Combine like terms: -1y + -1y = -2y -3 + -2y = 10 + y + -1y Combine like terms: y + -1y = 0 -3 + -2y = 10 + 0 -3 + -2y = 10 Add '3' to each side of the equation. -3 + 3 + -2y = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -2y = 10 + 3 -2y = 10 + 3 Combine like terms: 10 + 3 = 13 -2y = 13 Divide each side by '-2'. y = -6.5 Simplifying y = -6.5
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