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Simplifying 138 + 8y = 4(3y + 58) Reorder the terms: 138 + 8y = 4(58 + 3y) 138 + 8y = (58 * 4 + 3y * 4) 138 + 8y = (232 + 12y) Solving 138 + 8y = 232 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. 138 + 8y + -12y = 232 + 12y + -12y Combine like terms: 8y + -12y = -4y 138 + -4y = 232 + 12y + -12y Combine like terms: 12y + -12y = 0 138 + -4y = 232 + 0 138 + -4y = 232 Add '-138' to each side of the equation. 138 + -138 + -4y = 232 + -138 Combine like terms: 138 + -138 = 0 0 + -4y = 232 + -138 -4y = 232 + -138 Combine like terms: 232 + -138 = 94 -4y = 94 Divide each side by '-4'. y = -23.5 Simplifying y = -23.5
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