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Simplifying 3 + 2(6y + -7) + 5y = 7 + -4(8y + 2) + -8y Reorder the terms: 3 + 2(-7 + 6y) + 5y = 7 + -4(8y + 2) + -8y 3 + (-7 * 2 + 6y * 2) + 5y = 7 + -4(8y + 2) + -8y 3 + (-14 + 12y) + 5y = 7 + -4(8y + 2) + -8y Combine like terms: 3 + -14 = -11 -11 + 12y + 5y = 7 + -4(8y + 2) + -8y Combine like terms: 12y + 5y = 17y -11 + 17y = 7 + -4(8y + 2) + -8y Reorder the terms: -11 + 17y = 7 + -4(2 + 8y) + -8y -11 + 17y = 7 + (2 * -4 + 8y * -4) + -8y -11 + 17y = 7 + (-8 + -32y) + -8y Combine like terms: 7 + -8 = -1 -11 + 17y = -1 + -32y + -8y Combine like terms: -32y + -8y = -40y -11 + 17y = -1 + -40y Solving -11 + 17y = -1 + -40y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '40y' to each side of the equation. -11 + 17y + 40y = -1 + -40y + 40y Combine like terms: 17y + 40y = 57y -11 + 57y = -1 + -40y + 40y Combine like terms: -40y + 40y = 0 -11 + 57y = -1 + 0 -11 + 57y = -1 Add '11' to each side of the equation. -11 + 11 + 57y = -1 + 11 Combine like terms: -11 + 11 = 0 0 + 57y = -1 + 11 57y = -1 + 11 Combine like terms: -1 + 11 = 10 57y = 10 Divide each side by '57'. y = 0.1754385965 Simplifying y = 0.1754385965
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