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Simplifying 6(-7y + -5) = 9(5y + 3) Reorder the terms: 6(-5 + -7y) = 9(5y + 3) (-5 * 6 + -7y * 6) = 9(5y + 3) (-30 + -42y) = 9(5y + 3) Reorder the terms: -30 + -42y = 9(3 + 5y) -30 + -42y = (3 * 9 + 5y * 9) -30 + -42y = (27 + 45y) Solving -30 + -42y = 27 + 45y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-45y' to each side of the equation. -30 + -42y + -45y = 27 + 45y + -45y Combine like terms: -42y + -45y = -87y -30 + -87y = 27 + 45y + -45y Combine like terms: 45y + -45y = 0 -30 + -87y = 27 + 0 -30 + -87y = 27 Add '30' to each side of the equation. -30 + 30 + -87y = 27 + 30 Combine like terms: -30 + 30 = 0 0 + -87y = 27 + 30 -87y = 27 + 30 Combine like terms: 27 + 30 = 57 -87y = 57 Divide each side by '-87'. y = -0.6551724138 Simplifying y = -0.6551724138
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