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Simplifying 4(y + -7) + -6 = -4(-4y + 8) + -6y Reorder the terms: 4(-7 + y) + -6 = -4(-4y + 8) + -6y (-7 * 4 + y * 4) + -6 = -4(-4y + 8) + -6y (-28 + 4y) + -6 = -4(-4y + 8) + -6y Reorder the terms: -28 + -6 + 4y = -4(-4y + 8) + -6y Combine like terms: -28 + -6 = -34 -34 + 4y = -4(-4y + 8) + -6y Reorder the terms: -34 + 4y = -4(8 + -4y) + -6y -34 + 4y = (8 * -4 + -4y * -4) + -6y -34 + 4y = (-32 + 16y) + -6y Combine like terms: 16y + -6y = 10y -34 + 4y = -32 + 10y Solving -34 + 4y = -32 + 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. -34 + 4y + -10y = -32 + 10y + -10y Combine like terms: 4y + -10y = -6y -34 + -6y = -32 + 10y + -10y Combine like terms: 10y + -10y = 0 -34 + -6y = -32 + 0 -34 + -6y = -32 Add '34' to each side of the equation. -34 + 34 + -6y = -32 + 34 Combine like terms: -34 + 34 = 0 0 + -6y = -32 + 34 -6y = -32 + 34 Combine like terms: -32 + 34 = 2 -6y = 2 Divide each side by '-6'. y = -0.3333333333 Simplifying y = -0.3333333333
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