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Simplifying 6(y + -3) + -2 = -4(4y + 1) + -4y Reorder the terms: 6(-3 + y) + -2 = -4(4y + 1) + -4y (-3 * 6 + y * 6) + -2 = -4(4y + 1) + -4y (-18 + 6y) + -2 = -4(4y + 1) + -4y Reorder the terms: -18 + -2 + 6y = -4(4y + 1) + -4y Combine like terms: -18 + -2 = -20 -20 + 6y = -4(4y + 1) + -4y Reorder the terms: -20 + 6y = -4(1 + 4y) + -4y -20 + 6y = (1 * -4 + 4y * -4) + -4y -20 + 6y = (-4 + -16y) + -4y Combine like terms: -16y + -4y = -20y -20 + 6y = -4 + -20y Solving -20 + 6y = -4 + -20y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '20y' to each side of the equation. -20 + 6y + 20y = -4 + -20y + 20y Combine like terms: 6y + 20y = 26y -20 + 26y = -4 + -20y + 20y Combine like terms: -20y + 20y = 0 -20 + 26y = -4 + 0 -20 + 26y = -4 Add '20' to each side of the equation. -20 + 20 + 26y = -4 + 20 Combine like terms: -20 + 20 = 0 0 + 26y = -4 + 20 26y = -4 + 20 Combine like terms: -4 + 20 = 16 26y = 16 Divide each side by '26'. y = 0.6153846154 Simplifying y = 0.6153846154
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