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Simplifying 4(3y + -2) = 3y + 19 Reorder the terms: 4(-2 + 3y) = 3y + 19 (-2 * 4 + 3y * 4) = 3y + 19 (-8 + 12y) = 3y + 19 Reorder the terms: -8 + 12y = 19 + 3y Solving -8 + 12y = 19 + 3y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-3y' to each side of the equation. -8 + 12y + -3y = 19 + 3y + -3y Combine like terms: 12y + -3y = 9y -8 + 9y = 19 + 3y + -3y Combine like terms: 3y + -3y = 0 -8 + 9y = 19 + 0 -8 + 9y = 19 Add '8' to each side of the equation. -8 + 8 + 9y = 19 + 8 Combine like terms: -8 + 8 = 0 0 + 9y = 19 + 8 9y = 19 + 8 Combine like terms: 19 + 8 = 27 9y = 27 Divide each side by '9'. y = 3 Simplifying y = 3
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