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Simplifying -3(3y + -7) + -1y = -3(y + -4) Reorder the terms: -3(-7 + 3y) + -1y = -3(y + -4) (-7 * -3 + 3y * -3) + -1y = -3(y + -4) (21 + -9y) + -1y = -3(y + -4) Combine like terms: -9y + -1y = -10y 21 + -10y = -3(y + -4) Reorder the terms: 21 + -10y = -3(-4 + y) 21 + -10y = (-4 * -3 + y * -3) 21 + -10y = (12 + -3y) Solving 21 + -10y = 12 + -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. 21 + -10y + 3y = 12 + -3y + 3y Combine like terms: -10y + 3y = -7y 21 + -7y = 12 + -3y + 3y Combine like terms: -3y + 3y = 0 21 + -7y = 12 + 0 21 + -7y = 12 Add '-21' to each side of the equation. 21 + -21 + -7y = 12 + -21 Combine like terms: 21 + -21 = 0 0 + -7y = 12 + -21 -7y = 12 + -21 Combine like terms: 12 + -21 = -9 -7y = -9 Divide each side by '-7'. y = 1.285714286 Simplifying y = 1.285714286
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