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Simplifying 3(y + -4) + -1(2y + -3) = 4(2y + 2) + 11 Reorder the terms: 3(-4 + y) + -1(2y + -3) = 4(2y + 2) + 11 (-4 * 3 + y * 3) + -1(2y + -3) = 4(2y + 2) + 11 (-12 + 3y) + -1(2y + -3) = 4(2y + 2) + 11 Reorder the terms: -12 + 3y + -1(-3 + 2y) = 4(2y + 2) + 11 -12 + 3y + (-3 * -1 + 2y * -1) = 4(2y + 2) + 11 -12 + 3y + (3 + -2y) = 4(2y + 2) + 11 Reorder the terms: -12 + 3 + 3y + -2y = 4(2y + 2) + 11 Combine like terms: -12 + 3 = -9 -9 + 3y + -2y = 4(2y + 2) + 11 Combine like terms: 3y + -2y = 1y -9 + 1y = 4(2y + 2) + 11 Reorder the terms: -9 + 1y = 4(2 + 2y) + 11 -9 + 1y = (2 * 4 + 2y * 4) + 11 -9 + 1y = (8 + 8y) + 11 Reorder the terms: -9 + 1y = 8 + 11 + 8y Combine like terms: 8 + 11 = 19 -9 + 1y = 19 + 8y Solving -9 + 1y = 19 + 8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-8y' to each side of the equation. -9 + 1y + -8y = 19 + 8y + -8y Combine like terms: 1y + -8y = -7y -9 + -7y = 19 + 8y + -8y Combine like terms: 8y + -8y = 0 -9 + -7y = 19 + 0 -9 + -7y = 19 Add '9' to each side of the equation. -9 + 9 + -7y = 19 + 9 Combine like terms: -9 + 9 = 0 0 + -7y = 19 + 9 -7y = 19 + 9 Combine like terms: 19 + 9 = 28 -7y = 28 Divide each side by '-7'. y = -4 Simplifying y = -4
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