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Simplifying 7 + (10y + -5) + -6y = 8y + -1(13 + 16y) Reorder the terms: 7 + (-5 + 10y) + -6y = 8y + -1(13 + 16y) Remove parenthesis around (-5 + 10y) 7 + -5 + 10y + -6y = 8y + -1(13 + 16y) Combine like terms: 7 + -5 = 2 2 + 10y + -6y = 8y + -1(13 + 16y) Combine like terms: 10y + -6y = 4y 2 + 4y = 8y + -1(13 + 16y) 2 + 4y = 8y + (13 * -1 + 16y * -1) 2 + 4y = 8y + (-13 + -16y) Reorder the terms: 2 + 4y = -13 + 8y + -16y Combine like terms: 8y + -16y = -8y 2 + 4y = -13 + -8y Solving 2 + 4y = -13 + -8y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '8y' to each side of the equation. 2 + 4y + 8y = -13 + -8y + 8y Combine like terms: 4y + 8y = 12y 2 + 12y = -13 + -8y + 8y Combine like terms: -8y + 8y = 0 2 + 12y = -13 + 0 2 + 12y = -13 Add '-2' to each side of the equation. 2 + -2 + 12y = -13 + -2 Combine like terms: 2 + -2 = 0 0 + 12y = -13 + -2 12y = -13 + -2 Combine like terms: -13 + -2 = -15 12y = -15 Divide each side by '12'. y = -1.25 Simplifying y = -1.25
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