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Simplifying 5Y + 2(y + -6) = 4(x + 1) + -2 Reorder the terms: 5Y + 2(-6 + y) = 4(x + 1) + -2 5Y + (-6 * 2 + y * 2) = 4(x + 1) + -2 5Y + (-12 + 2y) = 4(x + 1) + -2 Reorder the terms: -12 + 5Y + 2y = 4(x + 1) + -2 Reorder the terms: -12 + 5Y + 2y = 4(1 + x) + -2 -12 + 5Y + 2y = (1 * 4 + x * 4) + -2 -12 + 5Y + 2y = (4 + 4x) + -2 Reorder the terms: -12 + 5Y + 2y = 4 + -2 + 4x Combine like terms: 4 + -2 = 2 -12 + 5Y + 2y = 2 + 4x Solving -12 + 5Y + 2y = 2 + 4x Solving for variable 'Y'. Move all terms containing Y to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 5Y + 12 + 2y = 2 + 12 + 4x Reorder the terms: -12 + 12 + 5Y + 2y = 2 + 12 + 4x Combine like terms: -12 + 12 = 0 0 + 5Y + 2y = 2 + 12 + 4x 5Y + 2y = 2 + 12 + 4x Combine like terms: 2 + 12 = 14 5Y + 2y = 14 + 4x Add '-2y' to each side of the equation. 5Y + 2y + -2y = 14 + 4x + -2y Combine like terms: 2y + -2y = 0 5Y + 0 = 14 + 4x + -2y 5Y = 14 + 4x + -2y Divide each side by '5'. Y = 2.8 + 0.8x + -0.4y Simplifying Y = 2.8 + 0.8x + -0.4y
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