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Simplifying 7 + 2(3y + -5) = -2(8y + -6) + 4y Reorder the terms: 7 + 2(-5 + 3y) = -2(8y + -6) + 4y 7 + (-5 * 2 + 3y * 2) = -2(8y + -6) + 4y 7 + (-10 + 6y) = -2(8y + -6) + 4y Combine like terms: 7 + -10 = -3 -3 + 6y = -2(8y + -6) + 4y Reorder the terms: -3 + 6y = -2(-6 + 8y) + 4y -3 + 6y = (-6 * -2 + 8y * -2) + 4y -3 + 6y = (12 + -16y) + 4y Combine like terms: -16y + 4y = -12y -3 + 6y = 12 + -12y Solving -3 + 6y = 12 + -12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '12y' to each side of the equation. -3 + 6y + 12y = 12 + -12y + 12y Combine like terms: 6y + 12y = 18y -3 + 18y = 12 + -12y + 12y Combine like terms: -12y + 12y = 0 -3 + 18y = 12 + 0 -3 + 18y = 12 Add '3' to each side of the equation. -3 + 3 + 18y = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 18y = 12 + 3 18y = 12 + 3 Combine like terms: 12 + 3 = 15 18y = 15 Divide each side by '18'. y = 0.8333333333 Simplifying y = 0.8333333333
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