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Simplifying -1(6y + 1) = -4(-10 + -4y) Reorder the terms: -1(1 + 6y) = -4(-10 + -4y) (1 * -1 + 6y * -1) = -4(-10 + -4y) (-1 + -6y) = -4(-10 + -4y) -1 + -6y = (-10 * -4 + -4y * -4) -1 + -6y = (40 + 16y) Solving -1 + -6y = 40 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -1 + -6y + -16y = 40 + 16y + -16y Combine like terms: -6y + -16y = -22y -1 + -22y = 40 + 16y + -16y Combine like terms: 16y + -16y = 0 -1 + -22y = 40 + 0 -1 + -22y = 40 Add '1' to each side of the equation. -1 + 1 + -22y = 40 + 1 Combine like terms: -1 + 1 = 0 0 + -22y = 40 + 1 -22y = 40 + 1 Combine like terms: 40 + 1 = 41 -22y = 41 Divide each side by '-22'. y = -1.863636364 Simplifying y = -1.863636364
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