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Simplifying (-4y + -7) + -1(-5y + -2) = 0 Reorder the terms: (-7 + -4y) + -1(-5y + -2) = 0 Remove parenthesis around (-7 + -4y) -7 + -4y + -1(-5y + -2) = 0 Reorder the terms: -7 + -4y + -1(-2 + -5y) = 0 -7 + -4y + (-2 * -1 + -5y * -1) = 0 -7 + -4y + (2 + 5y) = 0 Reorder the terms: -7 + 2 + -4y + 5y = 0 Combine like terms: -7 + 2 = -5 -5 + -4y + 5y = 0 Combine like terms: -4y + 5y = 1y -5 + 1y = 0 Solving -5 + 1y = 0 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1y = 0 + 5 1y = 0 + 5 Combine like terms: 0 + 5 = 5 1y = 5 Divide each side by '1'. y = 5 Simplifying y = 5
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