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Simplifying (5y + -4) + (7y + 3) = (20y + -9) Reorder the terms: (-4 + 5y) + (7y + 3) = (20y + -9) Remove parenthesis around (-4 + 5y) -4 + 5y + (7y + 3) = (20y + -9) Reorder the terms: -4 + 5y + (3 + 7y) = (20y + -9) Remove parenthesis around (3 + 7y) -4 + 5y + 3 + 7y = (20y + -9) Reorder the terms: -4 + 3 + 5y + 7y = (20y + -9) Combine like terms: -4 + 3 = -1 -1 + 5y + 7y = (20y + -9) Combine like terms: 5y + 7y = 12y -1 + 12y = (20y + -9) Reorder the terms: -1 + 12y = (-9 + 20y) Remove parenthesis around (-9 + 20y) -1 + 12y = -9 + 20y Solving -1 + 12y = -9 + 20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-20y' to each side of the equation. -1 + 12y + -20y = -9 + 20y + -20y Combine like terms: 12y + -20y = -8y -1 + -8y = -9 + 20y + -20y Combine like terms: 20y + -20y = 0 -1 + -8y = -9 + 0 -1 + -8y = -9 Add '1' to each side of the equation. -1 + 1 + -8y = -9 + 1 Combine like terms: -1 + 1 = 0 0 + -8y = -9 + 1 -8y = -9 + 1 Combine like terms: -9 + 1 = -8 -8y = -8 Divide each side by '-8'. y = 1 Simplifying y = 1
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