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Simplifying 3(y + -10) + 1 = 9(y + -8) Reorder the terms: 3(-10 + y) + 1 = 9(y + -8) (-10 * 3 + y * 3) + 1 = 9(y + -8) (-30 + 3y) + 1 = 9(y + -8) Reorder the terms: -30 + 1 + 3y = 9(y + -8) Combine like terms: -30 + 1 = -29 -29 + 3y = 9(y + -8) Reorder the terms: -29 + 3y = 9(-8 + y) -29 + 3y = (-8 * 9 + y * 9) -29 + 3y = (-72 + 9y) Solving -29 + 3y = -72 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -29 + 3y + -9y = -72 + 9y + -9y Combine like terms: 3y + -9y = -6y -29 + -6y = -72 + 9y + -9y Combine like terms: 9y + -9y = 0 -29 + -6y = -72 + 0 -29 + -6y = -72 Add '29' to each side of the equation. -29 + 29 + -6y = -72 + 29 Combine like terms: -29 + 29 = 0 0 + -6y = -72 + 29 -6y = -72 + 29 Combine like terms: -72 + 29 = -43 -6y = -43 Divide each side by '-6'. y = 7.166666667 Simplifying y = 7.166666667
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