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Simplifying 10y + 3(y + -4) = 12y Reorder the terms: 10y + 3(-4 + y) = 12y 10y + (-4 * 3 + y * 3) = 12y 10y + (-12 + 3y) = 12y Reorder the terms: -12 + 10y + 3y = 12y Combine like terms: 10y + 3y = 13y -12 + 13y = 12y Solving -12 + 13y = 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. -12 + 13y + -12y = 12y + -12y Combine like terms: 13y + -12y = 1y -12 + 1y = 12y + -12y Combine like terms: 12y + -12y = 0 -12 + 1y = 0 Add '12' to each side of the equation. -12 + 12 + 1y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 1y = 0 + 12 1y = 0 + 12 Combine like terms: 0 + 12 = 12 1y = 12 Divide each side by '1'. y = 12 Simplifying y = 12
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