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Simplifying -3y + 4(y + 1) = -2(y + -6) + 4 Reorder the terms: -3y + 4(1 + y) = -2(y + -6) + 4 -3y + (1 * 4 + y * 4) = -2(y + -6) + 4 -3y + (4 + 4y) = -2(y + -6) + 4 Reorder the terms: 4 + -3y + 4y = -2(y + -6) + 4 Combine like terms: -3y + 4y = 1y 4 + 1y = -2(y + -6) + 4 Reorder the terms: 4 + 1y = -2(-6 + y) + 4 4 + 1y = (-6 * -2 + y * -2) + 4 4 + 1y = (12 + -2y) + 4 Reorder the terms: 4 + 1y = 12 + 4 + -2y Combine like terms: 12 + 4 = 16 4 + 1y = 16 + -2y Solving 4 + 1y = 16 + -2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '2y' to each side of the equation. 4 + 1y + 2y = 16 + -2y + 2y Combine like terms: 1y + 2y = 3y 4 + 3y = 16 + -2y + 2y Combine like terms: -2y + 2y = 0 4 + 3y = 16 + 0 4 + 3y = 16 Add '-4' to each side of the equation. 4 + -4 + 3y = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 3y = 16 + -4 3y = 16 + -4 Combine like terms: 16 + -4 = 12 3y = 12 Divide each side by '3'. y = 4 Simplifying y = 4
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