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Simplifying -39 + 16y + 7 = 6(3y + -2) + -2 Reorder the terms: -39 + 7 + 16y = 6(3y + -2) + -2 Combine like terms: -39 + 7 = -32 -32 + 16y = 6(3y + -2) + -2 Reorder the terms: -32 + 16y = 6(-2 + 3y) + -2 -32 + 16y = (-2 * 6 + 3y * 6) + -2 -32 + 16y = (-12 + 18y) + -2 Reorder the terms: -32 + 16y = -12 + -2 + 18y Combine like terms: -12 + -2 = -14 -32 + 16y = -14 + 18y Solving -32 + 16y = -14 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -32 + 16y + -18y = -14 + 18y + -18y Combine like terms: 16y + -18y = -2y -32 + -2y = -14 + 18y + -18y Combine like terms: 18y + -18y = 0 -32 + -2y = -14 + 0 -32 + -2y = -14 Add '32' to each side of the equation. -32 + 32 + -2y = -14 + 32 Combine like terms: -32 + 32 = 0 0 + -2y = -14 + 32 -2y = -14 + 32 Combine like terms: -14 + 32 = 18 -2y = 18 Divide each side by '-2'. y = -9 Simplifying y = -9
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