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