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Simplifying 8y + -7 = 6(2y + 5) + -3y Reorder the terms: -7 + 8y = 6(2y + 5) + -3y Reorder the terms: -7 + 8y = 6(5 + 2y) + -3y -7 + 8y = (5 * 6 + 2y * 6) + -3y -7 + 8y = (30 + 12y) + -3y Combine like terms: 12y + -3y = 9y -7 + 8y = 30 + 9y Solving -7 + 8y = 30 + 9y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-9y' to each side of the equation. -7 + 8y + -9y = 30 + 9y + -9y Combine like terms: 8y + -9y = -1y -7 + -1y = 30 + 9y + -9y Combine like terms: 9y + -9y = 0 -7 + -1y = 30 + 0 -7 + -1y = 30 Add '7' to each side of the equation. -7 + 7 + -1y = 30 + 7 Combine like terms: -7 + 7 = 0 0 + -1y = 30 + 7 -1y = 30 + 7 Combine like terms: 30 + 7 = 37 -1y = 37 Divide each side by '-1'. y = -37 Simplifying y = -37
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