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Simplifying 10y + 16 = 4(3y + 8) Reorder the terms: 16 + 10y = 4(3y + 8) Reorder the terms: 16 + 10y = 4(8 + 3y) 16 + 10y = (8 * 4 + 3y * 4) 16 + 10y = (32 + 12y) Solving 16 + 10y = 32 + 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. 16 + 10y + -12y = 32 + 12y + -12y Combine like terms: 10y + -12y = -2y 16 + -2y = 32 + 12y + -12y Combine like terms: 12y + -12y = 0 16 + -2y = 32 + 0 16 + -2y = 32 Add '-16' to each side of the equation. 16 + -16 + -2y = 32 + -16 Combine like terms: 16 + -16 = 0 0 + -2y = 32 + -16 -2y = 32 + -16 Combine like terms: 32 + -16 = 16 -2y = 16 Divide each side by '-2'. y = -8 Simplifying y = -8
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