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Simplifying -4(3y + -10) + -1y = -4(y + -4) Reorder the terms: -4(-10 + 3y) + -1y = -4(y + -4) (-10 * -4 + 3y * -4) + -1y = -4(y + -4) (40 + -12y) + -1y = -4(y + -4) Combine like terms: -12y + -1y = -13y 40 + -13y = -4(y + -4) Reorder the terms: 40 + -13y = -4(-4 + y) 40 + -13y = (-4 * -4 + y * -4) 40 + -13y = (16 + -4y) Solving 40 + -13y = 16 + -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. 40 + -13y + 4y = 16 + -4y + 4y Combine like terms: -13y + 4y = -9y 40 + -9y = 16 + -4y + 4y Combine like terms: -4y + 4y = 0 40 + -9y = 16 + 0 40 + -9y = 16 Add '-40' to each side of the equation. 40 + -40 + -9y = 16 + -40 Combine like terms: 40 + -40 = 0 0 + -9y = 16 + -40 -9y = 16 + -40 Combine like terms: 16 + -40 = -24 -9y = -24 Divide each side by '-9'. y = 2.666666667 Simplifying y = 2.666666667
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