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Simplifying 4(7y + -9) + -7(4y + 3) = 6(9y + -10) Reorder the terms: 4(-9 + 7y) + -7(4y + 3) = 6(9y + -10) (-9 * 4 + 7y * 4) + -7(4y + 3) = 6(9y + -10) (-36 + 28y) + -7(4y + 3) = 6(9y + -10) Reorder the terms: -36 + 28y + -7(3 + 4y) = 6(9y + -10) -36 + 28y + (3 * -7 + 4y * -7) = 6(9y + -10) -36 + 28y + (-21 + -28y) = 6(9y + -10) Reorder the terms: -36 + -21 + 28y + -28y = 6(9y + -10) Combine like terms: -36 + -21 = -57 -57 + 28y + -28y = 6(9y + -10) Combine like terms: 28y + -28y = 0 -57 + 0 = 6(9y + -10) -57 = 6(9y + -10) Reorder the terms: -57 = 6(-10 + 9y) -57 = (-10 * 6 + 9y * 6) -57 = (-60 + 54y) Solving -57 = -60 + 54y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-54y' to each side of the equation. -57 + -54y = -60 + 54y + -54y Combine like terms: 54y + -54y = 0 -57 + -54y = -60 + 0 -57 + -54y = -60 Add '57' to each side of the equation. -57 + 57 + -54y = -60 + 57 Combine like terms: -57 + 57 = 0 0 + -54y = -60 + 57 -54y = -60 + 57 Combine like terms: -60 + 57 = -3 -54y = -3 Divide each side by '-54'. y = 0.05555555556 Simplifying y = 0.05555555556
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