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Simplifying 2(8y + -2) + 4y = 7 + 3(2y + -5) Reorder the terms: 2(-2 + 8y) + 4y = 7 + 3(2y + -5) (-2 * 2 + 8y * 2) + 4y = 7 + 3(2y + -5) (-4 + 16y) + 4y = 7 + 3(2y + -5) Combine like terms: 16y + 4y = 20y -4 + 20y = 7 + 3(2y + -5) Reorder the terms: -4 + 20y = 7 + 3(-5 + 2y) -4 + 20y = 7 + (-5 * 3 + 2y * 3) -4 + 20y = 7 + (-15 + 6y) Combine like terms: 7 + -15 = -8 -4 + 20y = -8 + 6y Solving -4 + 20y = -8 + 6y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-6y' to each side of the equation. -4 + 20y + -6y = -8 + 6y + -6y Combine like terms: 20y + -6y = 14y -4 + 14y = -8 + 6y + -6y Combine like terms: 6y + -6y = 0 -4 + 14y = -8 + 0 -4 + 14y = -8 Add '4' to each side of the equation. -4 + 4 + 14y = -8 + 4 Combine like terms: -4 + 4 = 0 0 + 14y = -8 + 4 14y = -8 + 4 Combine like terms: -8 + 4 = -4 14y = -4 Divide each side by '14'. y = -0.2857142857 Simplifying y = -0.2857142857
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