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Simplifying 2(3 + -1y) + 7(2y) = 15 + -4y (3 * 2 + -1y * 2) + 7(2y) = 15 + -4y (6 + -2y) + 7(2y) = 15 + -4y Remove parenthesis around (2y) 6 + -2y + 7 * 2y = 15 + -4y Multiply 7 * 2 6 + -2y + 14y = 15 + -4y Combine like terms: -2y + 14y = 12y 6 + 12y = 15 + -4y Solving 6 + 12y = 15 + -4y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '4y' to each side of the equation. 6 + 12y + 4y = 15 + -4y + 4y Combine like terms: 12y + 4y = 16y 6 + 16y = 15 + -4y + 4y Combine like terms: -4y + 4y = 0 6 + 16y = 15 + 0 6 + 16y = 15 Add '-6' to each side of the equation. 6 + -6 + 16y = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 16y = 15 + -6 16y = 15 + -6 Combine like terms: 15 + -6 = 9 16y = 9 Divide each side by '16'. y = 0.5625 Simplifying y = 0.5625
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