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Simplifying 8y + 6 = 4(3y + 1) Reorder the terms: 6 + 8y = 4(3y + 1) Reorder the terms: 6 + 8y = 4(1 + 3y) 6 + 8y = (1 * 4 + 3y * 4) 6 + 8y = (4 + 12y) Solving 6 + 8y = 4 + 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. 6 + 8y + -12y = 4 + 12y + -12y Combine like terms: 8y + -12y = -4y 6 + -4y = 4 + 12y + -12y Combine like terms: 12y + -12y = 0 6 + -4y = 4 + 0 6 + -4y = 4 Add '-6' to each side of the equation. 6 + -6 + -4y = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -4y = 4 + -6 -4y = 4 + -6 Combine like terms: 4 + -6 = -2 -4y = -2 Divide each side by '-4'. y = 0.5 Simplifying y = 0.5
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