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Simplifying 5 + -1(-1y + 6) = 2(-1y + 3) + -7(y + 1) Reorder the terms: 5 + -1(6 + -1y) = 2(-1y + 3) + -7(y + 1) 5 + (6 * -1 + -1y * -1) = 2(-1y + 3) + -7(y + 1) 5 + (-6 + 1y) = 2(-1y + 3) + -7(y + 1) Combine like terms: 5 + -6 = -1 -1 + 1y = 2(-1y + 3) + -7(y + 1) Reorder the terms: -1 + 1y = 2(3 + -1y) + -7(y + 1) -1 + 1y = (3 * 2 + -1y * 2) + -7(y + 1) -1 + 1y = (6 + -2y) + -7(y + 1) Reorder the terms: -1 + 1y = 6 + -2y + -7(1 + y) -1 + 1y = 6 + -2y + (1 * -7 + y * -7) -1 + 1y = 6 + -2y + (-7 + -7y) Reorder the terms: -1 + 1y = 6 + -7 + -2y + -7y Combine like terms: 6 + -7 = -1 -1 + 1y = -1 + -2y + -7y Combine like terms: -2y + -7y = -9y -1 + 1y = -1 + -9y Add '1' to each side of the equation. -1 + 1 + 1y = -1 + 1 + -9y Combine like terms: -1 + 1 = 0 0 + 1y = -1 + 1 + -9y 1y = -1 + 1 + -9y Combine like terms: -1 + 1 = 0 1y = 0 + -9y 1y = -9y Solving 1y = -9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '9y' to each side of the equation. 1y + 9y = -9y + 9y Combine like terms: 1y + 9y = 10y 10y = -9y + 9y Combine like terms: -9y + 9y = 0 10y = 0 Divide each side by '10'. y = 0.0 Simplifying y = 0.0
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