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Simplifying -6(-4y + 4) + -1y = 7(y + -2) + -4 Reorder the terms: -6(4 + -4y) + -1y = 7(y + -2) + -4 (4 * -6 + -4y * -6) + -1y = 7(y + -2) + -4 (-24 + 24y) + -1y = 7(y + -2) + -4 Combine like terms: 24y + -1y = 23y -24 + 23y = 7(y + -2) + -4 Reorder the terms: -24 + 23y = 7(-2 + y) + -4 -24 + 23y = (-2 * 7 + y * 7) + -4 -24 + 23y = (-14 + 7y) + -4 Reorder the terms: -24 + 23y = -14 + -4 + 7y Combine like terms: -14 + -4 = -18 -24 + 23y = -18 + 7y Solving -24 + 23y = -18 + 7y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-7y' to each side of the equation. -24 + 23y + -7y = -18 + 7y + -7y Combine like terms: 23y + -7y = 16y -24 + 16y = -18 + 7y + -7y Combine like terms: 7y + -7y = 0 -24 + 16y = -18 + 0 -24 + 16y = -18 Add '24' to each side of the equation. -24 + 24 + 16y = -18 + 24 Combine like terms: -24 + 24 = 0 0 + 16y = -18 + 24 16y = -18 + 24 Combine like terms: -18 + 24 = 6 16y = 6 Divide each side by '16'. y = 0.375 Simplifying y = 0.375
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