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Simplifying 5y + 2(33y + -1) = y + -1(y + 2) Reorder the terms: 5y + 2(-1 + 33y) = y + -1(y + 2) 5y + (-1 * 2 + 33y * 2) = y + -1(y + 2) 5y + (-2 + 66y) = y + -1(y + 2) Reorder the terms: -2 + 5y + 66y = y + -1(y + 2) Combine like terms: 5y + 66y = 71y -2 + 71y = y + -1(y + 2) Reorder the terms: -2 + 71y = y + -1(2 + y) -2 + 71y = y + (2 * -1 + y * -1) -2 + 71y = y + (-2 + -1y) Reorder the terms: -2 + 71y = -2 + y + -1y Combine like terms: y + -1y = 0 -2 + 71y = -2 + 0 -2 + 71y = -2 Add '2' to each side of the equation. -2 + 2 + 71y = -2 + 2 Combine like terms: -2 + 2 = 0 0 + 71y = -2 + 2 71y = -2 + 2 Combine like terms: -2 + 2 = 0 71y = 0 Solving 71y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Divide each side by '71'. y = 0 Simplifying y = 0
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