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Simplifying -5y + -3 = -4(2y + -6) Reorder the terms: -3 + -5y = -4(2y + -6) Reorder the terms: -3 + -5y = -4(-6 + 2y) -3 + -5y = (-6 * -4 + 2y * -4) -3 + -5y = (24 + -8y) Solving -3 + -5y = 24 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. -3 + -5y + 8y = 24 + -8y + 8y Combine like terms: -5y + 8y = 3y -3 + 3y = 24 + -8y + 8y Combine like terms: -8y + 8y = 0 -3 + 3y = 24 + 0 -3 + 3y = 24 Add '3' to each side of the equation. -3 + 3 + 3y = 24 + 3 Combine like terms: -3 + 3 = 0 0 + 3y = 24 + 3 3y = 24 + 3 Combine like terms: 24 + 3 = 27 3y = 27 Divide each side by '3'. y = 9 Simplifying y = 9
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