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Simplifying -3(3y + -6) + -1y = -3(y + -3) Reorder the terms: -3(-6 + 3y) + -1y = -3(y + -3) (-6 * -3 + 3y * -3) + -1y = -3(y + -3) (18 + -9y) + -1y = -3(y + -3) Combine like terms: -9y + -1y = -10y 18 + -10y = -3(y + -3) Reorder the terms: 18 + -10y = -3(-3 + y) 18 + -10y = (-3 * -3 + y * -3) 18 + -10y = (9 + -3y) Solving 18 + -10y = 9 + -3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '3y' to each side of the equation. 18 + -10y + 3y = 9 + -3y + 3y Combine like terms: -10y + 3y = -7y 18 + -7y = 9 + -3y + 3y Combine like terms: -3y + 3y = 0 18 + -7y = 9 + 0 18 + -7y = 9 Add '-18' to each side of the equation. 18 + -18 + -7y = 9 + -18 Combine like terms: 18 + -18 = 0 0 + -7y = 9 + -18 -7y = 9 + -18 Combine like terms: 9 + -18 = -9 -7y = -9 Divide each side by '-7'. y = 1.285714286 Simplifying y = 1.285714286
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