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Simplifying 4(-2y + 6) = -6(y + -5) Reorder the terms: 4(6 + -2y) = -6(y + -5) (6 * 4 + -2y * 4) = -6(y + -5) (24 + -8y) = -6(y + -5) Reorder the terms: 24 + -8y = -6(-5 + y) 24 + -8y = (-5 * -6 + y * -6) 24 + -8y = (30 + -6y) Solving 24 + -8y = 30 + -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. 24 + -8y + 6y = 30 + -6y + 6y Combine like terms: -8y + 6y = -2y 24 + -2y = 30 + -6y + 6y Combine like terms: -6y + 6y = 0 24 + -2y = 30 + 0 24 + -2y = 30 Add '-24' to each side of the equation. 24 + -24 + -2y = 30 + -24 Combine like terms: 24 + -24 = 0 0 + -2y = 30 + -24 -2y = 30 + -24 Combine like terms: 30 + -24 = 6 -2y = 6 Divide each side by '-2'. y = -3 Simplifying y = -3
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