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Simplifying -4(6y + -5) = 23 + -3(7y + 1) Reorder the terms: -4(-5 + 6y) = 23 + -3(7y + 1) (-5 * -4 + 6y * -4) = 23 + -3(7y + 1) (20 + -24y) = 23 + -3(7y + 1) Reorder the terms: 20 + -24y = 23 + -3(1 + 7y) 20 + -24y = 23 + (1 * -3 + 7y * -3) 20 + -24y = 23 + (-3 + -21y) Combine like terms: 23 + -3 = 20 20 + -24y = 20 + -21y Add '-20' to each side of the equation. 20 + -20 + -24y = 20 + -20 + -21y Combine like terms: 20 + -20 = 0 0 + -24y = 20 + -20 + -21y -24y = 20 + -20 + -21y Combine like terms: 20 + -20 = 0 -24y = 0 + -21y -24y = -21y Solving -24y = -21y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '21y' to each side of the equation. -24y + 21y = -21y + 21y Combine like terms: -24y + 21y = -3y -3y = -21y + 21y Combine like terms: -21y + 21y = 0 -3y = 0 Divide each side by '-3'. y = 0 Simplifying y = 0
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