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Simplifying -19(y + 3) + 6(4y + -4) = 4(y + -4) + 11 Reorder the terms: -19(3 + y) + 6(4y + -4) = 4(y + -4) + 11 (3 * -19 + y * -19) + 6(4y + -4) = 4(y + -4) + 11 (-57 + -19y) + 6(4y + -4) = 4(y + -4) + 11 Reorder the terms: -57 + -19y + 6(-4 + 4y) = 4(y + -4) + 11 -57 + -19y + (-4 * 6 + 4y * 6) = 4(y + -4) + 11 -57 + -19y + (-24 + 24y) = 4(y + -4) + 11 Reorder the terms: -57 + -24 + -19y + 24y = 4(y + -4) + 11 Combine like terms: -57 + -24 = -81 -81 + -19y + 24y = 4(y + -4) + 11 Combine like terms: -19y + 24y = 5y -81 + 5y = 4(y + -4) + 11 Reorder the terms: -81 + 5y = 4(-4 + y) + 11 -81 + 5y = (-4 * 4 + y * 4) + 11 -81 + 5y = (-16 + 4y) + 11 Reorder the terms: -81 + 5y = -16 + 11 + 4y Combine like terms: -16 + 11 = -5 -81 + 5y = -5 + 4y Solving -81 + 5y = -5 + 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. -81 + 5y + -4y = -5 + 4y + -4y Combine like terms: 5y + -4y = 1y -81 + 1y = -5 + 4y + -4y Combine like terms: 4y + -4y = 0 -81 + 1y = -5 + 0 -81 + 1y = -5 Add '81' to each side of the equation. -81 + 81 + 1y = -5 + 81 Combine like terms: -81 + 81 = 0 0 + 1y = -5 + 81 1y = -5 + 81 Combine like terms: -5 + 81 = 76 1y = 76 Divide each side by '1'. y = 76 Simplifying y = 76
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