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Simplifying 5(y + -4) + 11 = 2y + 30 Reorder the terms: 5(-4 + y) + 11 = 2y + 30 (-4 * 5 + y * 5) + 11 = 2y + 30 (-20 + 5y) + 11 = 2y + 30 Reorder the terms: -20 + 11 + 5y = 2y + 30 Combine like terms: -20 + 11 = -9 -9 + 5y = 2y + 30 Reorder the terms: -9 + 5y = 30 + 2y Solving -9 + 5y = 30 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -9 + 5y + -2y = 30 + 2y + -2y Combine like terms: 5y + -2y = 3y -9 + 3y = 30 + 2y + -2y Combine like terms: 2y + -2y = 0 -9 + 3y = 30 + 0 -9 + 3y = 30 Add '9' to each side of the equation. -9 + 9 + 3y = 30 + 9 Combine like terms: -9 + 9 = 0 0 + 3y = 30 + 9 3y = 30 + 9 Combine like terms: 30 + 9 = 39 3y = 39 Divide each side by '3'. y = 13 Simplifying y = 13
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