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Simplifying -7(y + 2) + 4(3y + -6) = 4(y + -4) + 12 Reorder the terms: -7(2 + y) + 4(3y + -6) = 4(y + -4) + 12 (2 * -7 + y * -7) + 4(3y + -6) = 4(y + -4) + 12 (-14 + -7y) + 4(3y + -6) = 4(y + -4) + 12 Reorder the terms: -14 + -7y + 4(-6 + 3y) = 4(y + -4) + 12 -14 + -7y + (-6 * 4 + 3y * 4) = 4(y + -4) + 12 -14 + -7y + (-24 + 12y) = 4(y + -4) + 12 Reorder the terms: -14 + -24 + -7y + 12y = 4(y + -4) + 12 Combine like terms: -14 + -24 = -38 -38 + -7y + 12y = 4(y + -4) + 12 Combine like terms: -7y + 12y = 5y -38 + 5y = 4(y + -4) + 12 Reorder the terms: -38 + 5y = 4(-4 + y) + 12 -38 + 5y = (-4 * 4 + y * 4) + 12 -38 + 5y = (-16 + 4y) + 12 Reorder the terms: -38 + 5y = -16 + 12 + 4y Combine like terms: -16 + 12 = -4 -38 + 5y = -4 + 4y Solving -38 + 5y = -4 + 4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-4y' to each side of the equation. -38 + 5y + -4y = -4 + 4y + -4y Combine like terms: 5y + -4y = 1y -38 + 1y = -4 + 4y + -4y Combine like terms: 4y + -4y = 0 -38 + 1y = -4 + 0 -38 + 1y = -4 Add '38' to each side of the equation. -38 + 38 + 1y = -4 + 38 Combine like terms: -38 + 38 = 0 0 + 1y = -4 + 38 1y = -4 + 38 Combine like terms: -4 + 38 = 34 1y = 34 Divide each side by '1'. y = 34 Simplifying y = 34
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