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Simplifying 4(y + -1) + -6 = -4(-5y + 1) + -6y Reorder the terms: 4(-1 + y) + -6 = -4(-5y + 1) + -6y (-1 * 4 + y * 4) + -6 = -4(-5y + 1) + -6y (-4 + 4y) + -6 = -4(-5y + 1) + -6y Reorder the terms: -4 + -6 + 4y = -4(-5y + 1) + -6y Combine like terms: -4 + -6 = -10 -10 + 4y = -4(-5y + 1) + -6y Reorder the terms: -10 + 4y = -4(1 + -5y) + -6y -10 + 4y = (1 * -4 + -5y * -4) + -6y -10 + 4y = (-4 + 20y) + -6y Combine like terms: 20y + -6y = 14y -10 + 4y = -4 + 14y Solving -10 + 4y = -4 + 14y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-14y' to each side of the equation. -10 + 4y + -14y = -4 + 14y + -14y Combine like terms: 4y + -14y = -10y -10 + -10y = -4 + 14y + -14y Combine like terms: 14y + -14y = 0 -10 + -10y = -4 + 0 -10 + -10y = -4 Add '10' to each side of the equation. -10 + 10 + -10y = -4 + 10 Combine like terms: -10 + 10 = 0 0 + -10y = -4 + 10 -10y = -4 + 10 Combine like terms: -4 + 10 = 6 -10y = 6 Divide each side by '-10'. y = -0.6 Simplifying y = -0.6
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