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Simplifying 8(y + -1) + -3y = 6(2y + 6) Reorder the terms: 8(-1 + y) + -3y = 6(2y + 6) (-1 * 8 + y * 8) + -3y = 6(2y + 6) (-8 + 8y) + -3y = 6(2y + 6) Combine like terms: 8y + -3y = 5y -8 + 5y = 6(2y + 6) Reorder the terms: -8 + 5y = 6(6 + 2y) -8 + 5y = (6 * 6 + 2y * 6) -8 + 5y = (36 + 12y) Solving -8 + 5y = 36 + 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. -8 + 5y + -12y = 36 + 12y + -12y Combine like terms: 5y + -12y = -7y -8 + -7y = 36 + 12y + -12y Combine like terms: 12y + -12y = 0 -8 + -7y = 36 + 0 -8 + -7y = 36 Add '8' to each side of the equation. -8 + 8 + -7y = 36 + 8 Combine like terms: -8 + 8 = 0 0 + -7y = 36 + 8 -7y = 36 + 8 Combine like terms: 36 + 8 = 44 -7y = 44 Divide each side by '-7'. y = -6.285714286 Simplifying y = -6.285714286
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