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Simplifying 4(y + -7) + -2 = -4(-4y + 5) + -6y Reorder the terms: 4(-7 + y) + -2 = -4(-4y + 5) + -6y (-7 * 4 + y * 4) + -2 = -4(-4y + 5) + -6y (-28 + 4y) + -2 = -4(-4y + 5) + -6y Reorder the terms: -28 + -2 + 4y = -4(-4y + 5) + -6y Combine like terms: -28 + -2 = -30 -30 + 4y = -4(-4y + 5) + -6y Reorder the terms: -30 + 4y = -4(5 + -4y) + -6y -30 + 4y = (5 * -4 + -4y * -4) + -6y -30 + 4y = (-20 + 16y) + -6y Combine like terms: 16y + -6y = 10y -30 + 4y = -20 + 10y Solving -30 + 4y = -20 + 10y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-10y' to each side of the equation. -30 + 4y + -10y = -20 + 10y + -10y Combine like terms: 4y + -10y = -6y -30 + -6y = -20 + 10y + -10y Combine like terms: 10y + -10y = 0 -30 + -6y = -20 + 0 -30 + -6y = -20 Add '30' to each side of the equation. -30 + 30 + -6y = -20 + 30 Combine like terms: -30 + 30 = 0 0 + -6y = -20 + 30 -6y = -20 + 30 Combine like terms: -20 + 30 = 10 -6y = 10 Divide each side by '-6'. y = -1.666666667 Simplifying y = -1.666666667
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