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Simplifying (2y + -10) + -1(4y + 1) = 0 Reorder the terms: (-10 + 2y) + -1(4y + 1) = 0 Remove parenthesis around (-10 + 2y) -10 + 2y + -1(4y + 1) = 0 Reorder the terms: -10 + 2y + -1(1 + 4y) = 0 -10 + 2y + (1 * -1 + 4y * -1) = 0 -10 + 2y + (-1 + -4y) = 0 Reorder the terms: -10 + -1 + 2y + -4y = 0 Combine like terms: -10 + -1 = -11 -11 + 2y + -4y = 0 Combine like terms: 2y + -4y = -2y -11 + -2y = 0 Solving -11 + -2y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -2y = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -2y = 0 + 11 -2y = 0 + 11 Combine like terms: 0 + 11 = 11 -2y = 11 Divide each side by '-2'. y = -5.5 Simplifying y = -5.5
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