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Simplifying 4(2 + -6y) + 7 = 3(5 + -7y) (2 * 4 + -6y * 4) + 7 = 3(5 + -7y) (8 + -24y) + 7 = 3(5 + -7y) Reorder the terms: 8 + 7 + -24y = 3(5 + -7y) Combine like terms: 8 + 7 = 15 15 + -24y = 3(5 + -7y) 15 + -24y = (5 * 3 + -7y * 3) 15 + -24y = (15 + -21y) Add '-15' to each side of the equation. 15 + -15 + -24y = 15 + -15 + -21y Combine like terms: 15 + -15 = 0 0 + -24y = 15 + -15 + -21y -24y = 15 + -15 + -21y Combine like terms: 15 + -15 = 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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