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