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Simplifying 2y + -7 + -1y * 6 = 8 + y * 4 + -4 + -3y Reorder the terms for easier multiplication: 2y + -7 + -1 * 6y = 8 + y * 4 + -4 + -3y Multiply -1 * 6 2y + -7 + -6y = 8 + y * 4 + -4 + -3y Reorder the terms: -7 + 2y + -6y = 8 + y * 4 + -4 + -3y Combine like terms: 2y + -6y = -4y -7 + -4y = 8 + y * 4 + -4 + -3y Reorder the terms for easier multiplication: -7 + -4y = 8 + 4y + -4 + -3y Reorder the terms: -7 + -4y = 8 + -4 + 4y + -3y Combine like terms: 8 + -4 = 4 -7 + -4y = 4 + 4y + -3y Combine like terms: 4y + -3y = 1y -7 + -4y = 4 + 1y Solving -7 + -4y = 4 + 1y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-1y' to each side of the equation. -7 + -4y + -1y = 4 + 1y + -1y Combine like terms: -4y + -1y = -5y -7 + -5y = 4 + 1y + -1y Combine like terms: 1y + -1y = 0 -7 + -5y = 4 + 0 -7 + -5y = 4 Add '7' to each side of the equation. -7 + 7 + -5y = 4 + 7 Combine like terms: -7 + 7 = 0 0 + -5y = 4 + 7 -5y = 4 + 7 Combine like terms: 4 + 7 = 11 -5y = 11 Divide each side by '-5'. y = -2.2 Simplifying y = -2.2
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