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Simplifying 2(3y + -7) = 2(3 + 8y) Reorder the terms: 2(-7 + 3y) = 2(3 + 8y) (-7 * 2 + 3y * 2) = 2(3 + 8y) (-14 + 6y) = 2(3 + 8y) -14 + 6y = (3 * 2 + 8y * 2) -14 + 6y = (6 + 16y) Solving -14 + 6y = 6 + 16y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-16y' to each side of the equation. -14 + 6y + -16y = 6 + 16y + -16y Combine like terms: 6y + -16y = -10y -14 + -10y = 6 + 16y + -16y Combine like terms: 16y + -16y = 0 -14 + -10y = 6 + 0 -14 + -10y = 6 Add '14' to each side of the equation. -14 + 14 + -10y = 6 + 14 Combine like terms: -14 + 14 = 0 0 + -10y = 6 + 14 -10y = 6 + 14 Combine like terms: 6 + 14 = 20 -10y = 20 Divide each side by '-10'. y = -2 Simplifying y = -2
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