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Simplifying [y + -5] + -1[y + 3] = 4y Reorder the terms: [-5 + y] + -1[y + 3] = 4y Remove brackets around [-5 + y] -5 + y + -1[y + 3] = 4y Reorder the terms: -5 + y + -1[3 + y] = 4y -5 + y + [3 * -1 + y * -1] = 4y -5 + y + [-3 + -1y] = 4y Reorder the terms: -5 + -3 + y + -1y = 4y Combine like terms: -5 + -3 = -8 -8 + y + -1y = 4y Combine like terms: y + -1y = 0 -8 + 0 = 4y -8 = 4y Solving -8 = 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -8 + -4y = 4y + -4y Combine like terms: 4y + -4y = 0 -8 + -4y = 0 Add '8' to each side of the equation. -8 + 8 + -4y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -4y = 0 + 8 -4y = 0 + 8 Combine like terms: 0 + 8 = 8 -4y = 8 Divide each side by '-4'. y = -2 Simplifying y = -2
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