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Simplifying -19(y + 2) + 6(4y + -6) = 4(y + -4) + 12 Reorder the terms: -19(2 + y) + 6(4y + -6) = 4(y + -4) + 12 (2 * -19 + y * -19) + 6(4y + -6) = 4(y + -4) + 12 (-38 + -19y) + 6(4y + -6) = 4(y + -4) + 12 Reorder the terms: -38 + -19y + 6(-6 + 4y) = 4(y + -4) + 12 -38 + -19y + (-6 * 6 + 4y * 6) = 4(y + -4) + 12 -38 + -19y + (-36 + 24y) = 4(y + -4) + 12 Reorder the terms: -38 + -36 + -19y + 24y = 4(y + -4) + 12 Combine like terms: -38 + -36 = -74 -74 + -19y + 24y = 4(y + -4) + 12 Combine like terms: -19y + 24y = 5y -74 + 5y = 4(y + -4) + 12 Reorder the terms: -74 + 5y = 4(-4 + y) + 12 -74 + 5y = (-4 * 4 + y * 4) + 12 -74 + 5y = (-16 + 4y) + 12 Reorder the terms: -74 + 5y = -16 + 12 + 4y Combine like terms: -16 + 12 = -4 -74 + 5y = -4 + 4y Solving -74 + 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. -74 + 5y + -4y = -4 + 4y + -4y Combine like terms: 5y + -4y = 1y -74 + 1y = -4 + 4y + -4y Combine like terms: 4y + -4y = 0 -74 + 1y = -4 + 0 -74 + 1y = -4 Add '74' to each side of the equation. -74 + 74 + 1y = -4 + 74 Combine like terms: -74 + 74 = 0 0 + 1y = -4 + 74 1y = -4 + 74 Combine like terms: -4 + 74 = 70 1y = 70 Divide each side by '1'. y = 70 Simplifying y = 70
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