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Simplifying [y + -11] + -1[y + 4] = 6y Reorder the terms: [-11 + y] + -1[y + 4] = 6y Remove brackets around [-11 + y] -11 + y + -1[y + 4] = 6y Reorder the terms: -11 + y + -1[4 + y] = 6y -11 + y + [4 * -1 + y * -1] = 6y -11 + y + [-4 + -1y] = 6y Reorder the terms: -11 + -4 + y + -1y = 6y Combine like terms: -11 + -4 = -15 -15 + y + -1y = 6y Combine like terms: y + -1y = 0 -15 + 0 = 6y -15 = 6y Solving -15 = 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -15 + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 -15 + -6y = 0 Add '15' to each side of the equation. -15 + 15 + -6y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -6y = 0 + 15 -6y = 0 + 15 Combine like terms: 0 + 15 = 15 -6y = 15 Divide each side by '-6'. y = -2.5 Simplifying y = -2.5
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