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Simplifying (7y + -63) + -1(27y + 14) = -9(21) Reorder the terms: (-63 + 7y) + -1(27y + 14) = -9(21) Remove parenthesis around (-63 + 7y) -63 + 7y + -1(27y + 14) = -9(21) Reorder the terms: -63 + 7y + -1(14 + 27y) = -9(21) -63 + 7y + (14 * -1 + 27y * -1) = -9(21) -63 + 7y + (-14 + -27y) = -9(21) Reorder the terms: -63 + -14 + 7y + -27y = -9(21) Combine like terms: -63 + -14 = -77 -77 + 7y + -27y = -9(21) Combine like terms: 7y + -27y = -20y -77 + -20y = -9(21) Multiply -9 * 21 -77 + -20y = -189 Solving -77 + -20y = -189 Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '77' to each side of the equation. -77 + 77 + -20y = -189 + 77 Combine like terms: -77 + 77 = 0 0 + -20y = -189 + 77 -20y = -189 + 77 Combine like terms: -189 + 77 = -112 -20y = -112 Divide each side by '-20'. y = 5.6 Simplifying y = 5.6
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