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Simplifying 4(y + 1) + 5 = 6(y + -1) + y Reorder the terms: 4(1 + y) + 5 = 6(y + -1) + y (1 * 4 + y * 4) + 5 = 6(y + -1) + y (4 + 4y) + 5 = 6(y + -1) + y Reorder the terms: 4 + 5 + 4y = 6(y + -1) + y Combine like terms: 4 + 5 = 9 9 + 4y = 6(y + -1) + y Reorder the terms: 9 + 4y = 6(-1 + y) + y 9 + 4y = (-1 * 6 + y * 6) + y 9 + 4y = (-6 + 6y) + y Combine like terms: 6y + y = 7y 9 + 4y = -6 + 7y Solving 9 + 4y = -6 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. 9 + 4y + -7y = -6 + 7y + -7y Combine like terms: 4y + -7y = -3y 9 + -3y = -6 + 7y + -7y Combine like terms: 7y + -7y = 0 9 + -3y = -6 + 0 9 + -3y = -6 Add '-9' to each side of the equation. 9 + -9 + -3y = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3y = -6 + -9 -3y = -6 + -9 Combine like terms: -6 + -9 = -15 -3y = -15 Divide each side by '-3'. y = 5 Simplifying y = 5
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