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Simplifying 4(y + -1) + 5(y + 1) = 100 Reorder the terms: 4(-1 + y) + 5(y + 1) = 100 (-1 * 4 + y * 4) + 5(y + 1) = 100 (-4 + 4y) + 5(y + 1) = 100 Reorder the terms: -4 + 4y + 5(1 + y) = 100 -4 + 4y + (1 * 5 + y * 5) = 100 -4 + 4y + (5 + 5y) = 100 Reorder the terms: -4 + 5 + 4y + 5y = 100 Combine like terms: -4 + 5 = 1 1 + 4y + 5y = 100 Combine like terms: 4y + 5y = 9y 1 + 9y = 100 Solving 1 + 9y = 100 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 9y = 100 + -1 Combine like terms: 1 + -1 = 0 0 + 9y = 100 + -1 9y = 100 + -1 Combine like terms: 100 + -1 = 99 9y = 99 Divide each side by '9'. y = 11 Simplifying y = 11
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