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Simplifying -4y + 5(6y + 2) = -4 + -9(-3 + -1y) Reorder the terms: -4y + 5(2 + 6y) = -4 + -9(-3 + -1y) -4y + (2 * 5 + 6y * 5) = -4 + -9(-3 + -1y) -4y + (10 + 30y) = -4 + -9(-3 + -1y) Reorder the terms: 10 + -4y + 30y = -4 + -9(-3 + -1y) Combine like terms: -4y + 30y = 26y 10 + 26y = -4 + -9(-3 + -1y) 10 + 26y = -4 + (-3 * -9 + -1y * -9) 10 + 26y = -4 + (27 + 9y) Combine like terms: -4 + 27 = 23 10 + 26y = 23 + 9y Solving 10 + 26y = 23 + 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. 10 + 26y + -9y = 23 + 9y + -9y Combine like terms: 26y + -9y = 17y 10 + 17y = 23 + 9y + -9y Combine like terms: 9y + -9y = 0 10 + 17y = 23 + 0 10 + 17y = 23 Add '-10' to each side of the equation. 10 + -10 + 17y = 23 + -10 Combine like terms: 10 + -10 = 0 0 + 17y = 23 + -10 17y = 23 + -10 Combine like terms: 23 + -10 = 13 17y = 13 Divide each side by '17'. y = 0.7647058824 Simplifying y = 0.7647058824
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