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Simplifying 9y + -5 + -3y = 8(y + 1) + -5 Reorder the terms: -5 + 9y + -3y = 8(y + 1) + -5 Combine like terms: 9y + -3y = 6y -5 + 6y = 8(y + 1) + -5 Reorder the terms: -5 + 6y = 8(1 + y) + -5 -5 + 6y = (1 * 8 + y * 8) + -5 -5 + 6y = (8 + 8y) + -5 Reorder the terms: -5 + 6y = 8 + -5 + 8y Combine like terms: 8 + -5 = 3 -5 + 6y = 3 + 8y Solving -5 + 6y = 3 + 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. -5 + 6y + -8y = 3 + 8y + -8y Combine like terms: 6y + -8y = -2y -5 + -2y = 3 + 8y + -8y Combine like terms: 8y + -8y = 0 -5 + -2y = 3 + 0 -5 + -2y = 3 Add '5' to each side of the equation. -5 + 5 + -2y = 3 + 5 Combine like terms: -5 + 5 = 0 0 + -2y = 3 + 5 -2y = 3 + 5 Combine like terms: 3 + 5 = 8 -2y = 8 Divide each side by '-2'. y = -4 Simplifying y = -4
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