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Simplifying 4y + -2(y + 8) = 5 + 3(y + -6) Reorder the terms: 4y + -2(8 + y) = 5 + 3(y + -6) 4y + (8 * -2 + y * -2) = 5 + 3(y + -6) 4y + (-16 + -2y) = 5 + 3(y + -6) Reorder the terms: -16 + 4y + -2y = 5 + 3(y + -6) Combine like terms: 4y + -2y = 2y -16 + 2y = 5 + 3(y + -6) Reorder the terms: -16 + 2y = 5 + 3(-6 + y) -16 + 2y = 5 + (-6 * 3 + y * 3) -16 + 2y = 5 + (-18 + 3y) Combine like terms: 5 + -18 = -13 -16 + 2y = -13 + 3y Solving -16 + 2y = -13 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -16 + 2y + -3y = -13 + 3y + -3y Combine like terms: 2y + -3y = -1y -16 + -1y = -13 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + -1y = -13 + 0 -16 + -1y = -13 Add '16' to each side of the equation. -16 + 16 + -1y = -13 + 16 Combine like terms: -16 + 16 = 0 0 + -1y = -13 + 16 -1y = -13 + 16 Combine like terms: -13 + 16 = 3 -1y = 3 Divide each side by '-1'. y = -3 Simplifying y = -3
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