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Simplifying 10(y + -12) + 10y = 9(1 + 7y) Reorder the terms: 10(-12 + y) + 10y = 9(1 + 7y) (-12 * 10 + y * 10) + 10y = 9(1 + 7y) (-120 + 10y) + 10y = 9(1 + 7y) Combine like terms: 10y + 10y = 20y -120 + 20y = 9(1 + 7y) -120 + 20y = (1 * 9 + 7y * 9) -120 + 20y = (9 + 63y) Solving -120 + 20y = 9 + 63y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-63y' to each side of the equation. -120 + 20y + -63y = 9 + 63y + -63y Combine like terms: 20y + -63y = -43y -120 + -43y = 9 + 63y + -63y Combine like terms: 63y + -63y = 0 -120 + -43y = 9 + 0 -120 + -43y = 9 Add '120' to each side of the equation. -120 + 120 + -43y = 9 + 120 Combine like terms: -120 + 120 = 0 0 + -43y = 9 + 120 -43y = 9 + 120 Combine like terms: 9 + 120 = 129 -43y = 129 Divide each side by '-43'. y = -3 Simplifying y = -3
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