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Simplifying -4(5y + -7) = 23(0 + -3)(8y + 1) Reorder the terms: -4(-7 + 5y) = 23(0 + -3)(8y + 1) (-7 * -4 + 5y * -4) = 23(0 + -3)(8y + 1) (28 + -20y) = 23(0 + -3)(8y + 1) Combine like terms: 0 + -3 = -3 28 + -20y = 23(-3)(8y + 1) Reorder the terms: 28 + -20y = 23 * -3(1 + 8y) Multiply 23 * -3 28 + -20y = -69(1 + 8y) 28 + -20y = (1 * -69 + 8y * -69) 28 + -20y = (-69 + -552y) Solving 28 + -20y = -69 + -552y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '552y' to each side of the equation. 28 + -20y + 552y = -69 + -552y + 552y Combine like terms: -20y + 552y = 532y 28 + 532y = -69 + -552y + 552y Combine like terms: -552y + 552y = 0 28 + 532y = -69 + 0 28 + 532y = -69 Add '-28' to each side of the equation. 28 + -28 + 532y = -69 + -28 Combine like terms: 28 + -28 = 0 0 + 532y = -69 + -28 532y = -69 + -28 Combine like terms: -69 + -28 = -97 532y = -97 Divide each side by '532'. y = -0.1823308271 Simplifying y = -0.1823308271
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