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Simplifying 5[4(y + 5) + -1(y + 5)] = 5(3y + 1) Reorder the terms: 5[4(5 + y) + -1(y + 5)] = 5(3y + 1) 5[(5 * 4 + y * 4) + -1(y + 5)] = 5(3y + 1) 5[(20 + 4y) + -1(y + 5)] = 5(3y + 1) Reorder the terms: 5[20 + 4y + -1(5 + y)] = 5(3y + 1) 5[20 + 4y + (5 * -1 + y * -1)] = 5(3y + 1) 5[20 + 4y + (-5 + -1y)] = 5(3y + 1) Reorder the terms: 5[20 + -5 + 4y + -1y] = 5(3y + 1) Combine like terms: 20 + -5 = 15 5[15 + 4y + -1y] = 5(3y + 1) Combine like terms: 4y + -1y = 3y 5[15 + 3y] = 5(3y + 1) [15 * 5 + 3y * 5] = 5(3y + 1) [75 + 15y] = 5(3y + 1) Reorder the terms: 75 + 15y = 5(1 + 3y) 75 + 15y = (1 * 5 + 3y * 5) 75 + 15y = (5 + 15y) Add '-15y' to each side of the equation. 75 + 15y + -15y = 5 + 15y + -15y Combine like terms: 15y + -15y = 0 75 + 0 = 5 + 15y + -15y 75 = 5 + 15y + -15y Combine like terms: 15y + -15y = 0 75 = 5 + 0 75 = 5 Solving 75 = 5 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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