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Simplifying -38 + -12y + 14 = -23y + 16 + 7y Reorder the terms: -38 + 14 + -12y = -23y + 16 + 7y Combine like terms: -38 + 14 = -24 -24 + -12y = -23y + 16 + 7y Reorder the terms: -24 + -12y = 16 + -23y + 7y Combine like terms: -23y + 7y = -16y -24 + -12y = 16 + -16y Solving -24 + -12y = 16 + -16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '16y' to each side of the equation. -24 + -12y + 16y = 16 + -16y + 16y Combine like terms: -12y + 16y = 4y -24 + 4y = 16 + -16y + 16y Combine like terms: -16y + 16y = 0 -24 + 4y = 16 + 0 -24 + 4y = 16 Add '24' to each side of the equation. -24 + 24 + 4y = 16 + 24 Combine like terms: -24 + 24 = 0 0 + 4y = 16 + 24 4y = 16 + 24 Combine like terms: 16 + 24 = 40 4y = 40 Divide each side by '4'. y = 10 Simplifying y = 10
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