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Simplifying 3y + -4(y + -2) = 2(y + 1) + -6 Reorder the terms: 3y + -4(-2 + y) = 2(y + 1) + -6 3y + (-2 * -4 + y * -4) = 2(y + 1) + -6 3y + (8 + -4y) = 2(y + 1) + -6 Reorder the terms: 8 + 3y + -4y = 2(y + 1) + -6 Combine like terms: 3y + -4y = -1y 8 + -1y = 2(y + 1) + -6 Reorder the terms: 8 + -1y = 2(1 + y) + -6 8 + -1y = (1 * 2 + y * 2) + -6 8 + -1y = (2 + 2y) + -6 Reorder the terms: 8 + -1y = 2 + -6 + 2y Combine like terms: 2 + -6 = -4 8 + -1y = -4 + 2y Solving 8 + -1y = -4 + 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. 8 + -1y + -2y = -4 + 2y + -2y Combine like terms: -1y + -2y = -3y 8 + -3y = -4 + 2y + -2y Combine like terms: 2y + -2y = 0 8 + -3y = -4 + 0 8 + -3y = -4 Add '-8' to each side of the equation. 8 + -8 + -3y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -3y = -4 + -8 -3y = -4 + -8 Combine like terms: -4 + -8 = -12 -3y = -12 Divide each side by '-3'. y = 4 Simplifying y = 4
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