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Simplifying -4(y + -3) + 6 = 2(2y + -2) + 5y + 8 Reorder the terms: -4(-3 + y) + 6 = 2(2y + -2) + 5y + 8 (-3 * -4 + y * -4) + 6 = 2(2y + -2) + 5y + 8 (12 + -4y) + 6 = 2(2y + -2) + 5y + 8 Reorder the terms: 12 + 6 + -4y = 2(2y + -2) + 5y + 8 Combine like terms: 12 + 6 = 18 18 + -4y = 2(2y + -2) + 5y + 8 Reorder the terms: 18 + -4y = 2(-2 + 2y) + 5y + 8 18 + -4y = (-2 * 2 + 2y * 2) + 5y + 8 18 + -4y = (-4 + 4y) + 5y + 8 Reorder the terms: 18 + -4y = -4 + 8 + 4y + 5y Combine like terms: -4 + 8 = 4 18 + -4y = 4 + 4y + 5y Combine like terms: 4y + 5y = 9y 18 + -4y = 4 + 9y Solving 18 + -4y = 4 + 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. 18 + -4y + -9y = 4 + 9y + -9y Combine like terms: -4y + -9y = -13y 18 + -13y = 4 + 9y + -9y Combine like terms: 9y + -9y = 0 18 + -13y = 4 + 0 18 + -13y = 4 Add '-18' to each side of the equation. 18 + -18 + -13y = 4 + -18 Combine like terms: 18 + -18 = 0 0 + -13y = 4 + -18 -13y = 4 + -18 Combine like terms: 4 + -18 = -14 -13y = -14 Divide each side by '-13'. y = 1.076923077 Simplifying y = 1.076923077
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