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Simplifying -4y + 3 = -6(y + -4) Reorder the terms: 3 + -4y = -6(y + -4) Reorder the terms: 3 + -4y = -6(-4 + y) 3 + -4y = (-4 * -6 + y * -6) 3 + -4y = (24 + -6y) Solving 3 + -4y = 24 + -6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '6y' to each side of the equation. 3 + -4y + 6y = 24 + -6y + 6y Combine like terms: -4y + 6y = 2y 3 + 2y = 24 + -6y + 6y Combine like terms: -6y + 6y = 0 3 + 2y = 24 + 0 3 + 2y = 24 Add '-3' to each side of the equation. 3 + -3 + 2y = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 2y = 24 + -3 2y = 24 + -3 Combine like terms: 24 + -3 = 21 2y = 21 Divide each side by '2'. y = 10.5 Simplifying y = 10.5
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