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Simplifying 4y + -4(3y + 1) = -3 + -2(1 + -1y) Reorder the terms: 4y + -4(1 + 3y) = -3 + -2(1 + -1y) 4y + (1 * -4 + 3y * -4) = -3 + -2(1 + -1y) 4y + (-4 + -12y) = -3 + -2(1 + -1y) Reorder the terms: -4 + 4y + -12y = -3 + -2(1 + -1y) Combine like terms: 4y + -12y = -8y -4 + -8y = -3 + -2(1 + -1y) -4 + -8y = -3 + (1 * -2 + -1y * -2) -4 + -8y = -3 + (-2 + 2y) Combine like terms: -3 + -2 = -5 -4 + -8y = -5 + 2y Solving -4 + -8y = -5 + 2y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-2y' to each side of the equation. -4 + -8y + -2y = -5 + 2y + -2y Combine like terms: -8y + -2y = -10y -4 + -10y = -5 + 2y + -2y Combine like terms: 2y + -2y = 0 -4 + -10y = -5 + 0 -4 + -10y = -5 Add '4' to each side of the equation. -4 + 4 + -10y = -5 + 4 Combine like terms: -4 + 4 = 0 0 + -10y = -5 + 4 -10y = -5 + 4 Combine like terms: -5 + 4 = -1 -10y = -1 Divide each side by '-10'. y = 0.1 Simplifying y = 0.1
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