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Simplifying 3 + -2(8y + 6) = 3(y + 2) + -1 Reorder the terms: 3 + -2(6 + 8y) = 3(y + 2) + -1 3 + (6 * -2 + 8y * -2) = 3(y + 2) + -1 3 + (-12 + -16y) = 3(y + 2) + -1 Combine like terms: 3 + -12 = -9 -9 + -16y = 3(y + 2) + -1 Reorder the terms: -9 + -16y = 3(2 + y) + -1 -9 + -16y = (2 * 3 + y * 3) + -1 -9 + -16y = (6 + 3y) + -1 Reorder the terms: -9 + -16y = 6 + -1 + 3y Combine like terms: 6 + -1 = 5 -9 + -16y = 5 + 3y Solving -9 + -16y = 5 + 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. -9 + -16y + -3y = 5 + 3y + -3y Combine like terms: -16y + -3y = -19y -9 + -19y = 5 + 3y + -3y Combine like terms: 3y + -3y = 0 -9 + -19y = 5 + 0 -9 + -19y = 5 Add '9' to each side of the equation. -9 + 9 + -19y = 5 + 9 Combine like terms: -9 + 9 = 0 0 + -19y = 5 + 9 -19y = 5 + 9 Combine like terms: 5 + 9 = 14 -19y = 14 Divide each side by '-19'. y = -0.7368421053 Simplifying y = -0.7368421053
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