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Simplifying -2(2y + -3) + 2 = 4(3y + -1) + y Reorder the terms: -2(-3 + 2y) + 2 = 4(3y + -1) + y (-3 * -2 + 2y * -2) + 2 = 4(3y + -1) + y (6 + -4y) + 2 = 4(3y + -1) + y Reorder the terms: 6 + 2 + -4y = 4(3y + -1) + y Combine like terms: 6 + 2 = 8 8 + -4y = 4(3y + -1) + y Reorder the terms: 8 + -4y = 4(-1 + 3y) + y 8 + -4y = (-1 * 4 + 3y * 4) + y 8 + -4y = (-4 + 12y) + y Combine like terms: 12y + y = 13y 8 + -4y = -4 + 13y Solving 8 + -4y = -4 + 13y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-13y' to each side of the equation. 8 + -4y + -13y = -4 + 13y + -13y Combine like terms: -4y + -13y = -17y 8 + -17y = -4 + 13y + -13y Combine like terms: 13y + -13y = 0 8 + -17y = -4 + 0 8 + -17y = -4 Add '-8' to each side of the equation. 8 + -8 + -17y = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -17y = -4 + -8 -17y = -4 + -8 Combine like terms: -4 + -8 = -12 -17y = -12 Divide each side by '-17'. y = 0.7058823529 Simplifying y = 0.7058823529
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