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Simplifying 2(9y + -4) + -4 = -6(4y + 1) + -8y Reorder the terms: 2(-4 + 9y) + -4 = -6(4y + 1) + -8y (-4 * 2 + 9y * 2) + -4 = -6(4y + 1) + -8y (-8 + 18y) + -4 = -6(4y + 1) + -8y Reorder the terms: -8 + -4 + 18y = -6(4y + 1) + -8y Combine like terms: -8 + -4 = -12 -12 + 18y = -6(4y + 1) + -8y Reorder the terms: -12 + 18y = -6(1 + 4y) + -8y -12 + 18y = (1 * -6 + 4y * -6) + -8y -12 + 18y = (-6 + -24y) + -8y Combine like terms: -24y + -8y = -32y -12 + 18y = -6 + -32y Solving -12 + 18y = -6 + -32y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '32y' to each side of the equation. -12 + 18y + 32y = -6 + -32y + 32y Combine like terms: 18y + 32y = 50y -12 + 50y = -6 + -32y + 32y Combine like terms: -32y + 32y = 0 -12 + 50y = -6 + 0 -12 + 50y = -6 Add '12' to each side of the equation. -12 + 12 + 50y = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 50y = -6 + 12 50y = -6 + 12 Combine like terms: -6 + 12 = 6 50y = 6 Divide each side by '50'. y = 0.12 Simplifying y = 0.12
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