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