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Simplifying 7(y + -3) + -2(5 + -1y) + 25 = 4(y + 3) + -8 Reorder the terms: 7(-3 + y) + -2(5 + -1y) + 25 = 4(y + 3) + -8 (-3 * 7 + y * 7) + -2(5 + -1y) + 25 = 4(y + 3) + -8 (-21 + 7y) + -2(5 + -1y) + 25 = 4(y + 3) + -8 -21 + 7y + (5 * -2 + -1y * -2) + 25 = 4(y + 3) + -8 -21 + 7y + (-10 + 2y) + 25 = 4(y + 3) + -8 Reorder the terms: -21 + -10 + 25 + 7y + 2y = 4(y + 3) + -8 Combine like terms: -21 + -10 = -31 -31 + 25 + 7y + 2y = 4(y + 3) + -8 Combine like terms: -31 + 25 = -6 -6 + 7y + 2y = 4(y + 3) + -8 Combine like terms: 7y + 2y = 9y -6 + 9y = 4(y + 3) + -8 Reorder the terms: -6 + 9y = 4(3 + y) + -8 -6 + 9y = (3 * 4 + y * 4) + -8 -6 + 9y = (12 + 4y) + -8 Reorder the terms: -6 + 9y = 12 + -8 + 4y Combine like terms: 12 + -8 = 4 -6 + 9y = 4 + 4y Solving -6 + 9y = 4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -6 + 9y + -4y = 4 + 4y + -4y Combine like terms: 9y + -4y = 5y -6 + 5y = 4 + 4y + -4y Combine like terms: 4y + -4y = 0 -6 + 5y = 4 + 0 -6 + 5y = 4 Add '6' to each side of the equation. -6 + 6 + 5y = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 5y = 4 + 6 5y = 4 + 6 Combine like terms: 4 + 6 = 10 5y = 10 Divide each side by '5'. y = 2 Simplifying y = 2
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