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Simplifying -8 + -8(2y + 1) = 3(y + 3) + -2 Reorder the terms: -8 + -8(1 + 2y) = 3(y + 3) + -2 -8 + (1 * -8 + 2y * -8) = 3(y + 3) + -2 -8 + (-8 + -16y) = 3(y + 3) + -2 Combine like terms: -8 + -8 = -16 -16 + -16y = 3(y + 3) + -2 Reorder the terms: -16 + -16y = 3(3 + y) + -2 -16 + -16y = (3 * 3 + y * 3) + -2 -16 + -16y = (9 + 3y) + -2 Reorder the terms: -16 + -16y = 9 + -2 + 3y Combine like terms: 9 + -2 = 7 -16 + -16y = 7 + 3y Solving -16 + -16y = 7 + 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. -16 + -16y + -3y = 7 + 3y + -3y Combine like terms: -16y + -3y = -19y -16 + -19y = 7 + 3y + -3y Combine like terms: 3y + -3y = 0 -16 + -19y = 7 + 0 -16 + -19y = 7 Add '16' to each side of the equation. -16 + 16 + -19y = 7 + 16 Combine like terms: -16 + 16 = 0 0 + -19y = 7 + 16 -19y = 7 + 16 Combine like terms: 7 + 16 = 23 -19y = 23 Divide each side by '-19'. y = -1.210526316 Simplifying y = -1.210526316
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