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Simplifying 0.75(2 + 2y) = 3(4y + -4) (2 * 0.75 + 2y * 0.75) = 3(4y + -4) (1.5 + 1.5y) = 3(4y + -4) Reorder the terms: 1.5 + 1.5y = 3(-4 + 4y) 1.5 + 1.5y = (-4 * 3 + 4y * 3) 1.5 + 1.5y = (-12 + 12y) Solving 1.5 + 1.5y = -12 + 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. 1.5 + 1.5y + -12y = -12 + 12y + -12y Combine like terms: 1.5y + -12y = -10.5y 1.5 + -10.5y = -12 + 12y + -12y Combine like terms: 12y + -12y = 0 1.5 + -10.5y = -12 + 0 1.5 + -10.5y = -12 Add '-1.5' to each side of the equation. 1.5 + -1.5 + -10.5y = -12 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -10.5y = -12 + -1.5 -10.5y = -12 + -1.5 Combine like terms: -12 + -1.5 = -13.5 -10.5y = -13.5 Divide each side by '-10.5'. y = 1.285714286 Simplifying y = 1.285714286
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