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Simplifying 2(y + -2) = 4y + 6 + -2(-4y + -1) Reorder the terms: 2(-2 + y) = 4y + 6 + -2(-4y + -1) (-2 * 2 + y * 2) = 4y + 6 + -2(-4y + -1) (-4 + 2y) = 4y + 6 + -2(-4y + -1) Reorder the terms: -4 + 2y = 4y + 6 + -2(-1 + -4y) -4 + 2y = 4y + 6 + (-1 * -2 + -4y * -2) -4 + 2y = 4y + 6 + (2 + 8y) Reorder the terms: -4 + 2y = 6 + 2 + 4y + 8y Combine like terms: 6 + 2 = 8 -4 + 2y = 8 + 4y + 8y Combine like terms: 4y + 8y = 12y -4 + 2y = 8 + 12y Solving -4 + 2y = 8 + 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. -4 + 2y + -12y = 8 + 12y + -12y Combine like terms: 2y + -12y = -10y -4 + -10y = 8 + 12y + -12y Combine like terms: 12y + -12y = 0 -4 + -10y = 8 + 0 -4 + -10y = 8 Add '4' to each side of the equation. -4 + 4 + -10y = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -10y = 8 + 4 -10y = 8 + 4 Combine like terms: 8 + 4 = 12 -10y = 12 Divide each side by '-10'. y = -1.2 Simplifying y = -1.2
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