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Simplifying 4(y + -2) + 4 = 10y + 12 Reorder the terms: 4(-2 + y) + 4 = 10y + 12 (-2 * 4 + y * 4) + 4 = 10y + 12 (-8 + 4y) + 4 = 10y + 12 Reorder the terms: -8 + 4 + 4y = 10y + 12 Combine like terms: -8 + 4 = -4 -4 + 4y = 10y + 12 Reorder the terms: -4 + 4y = 12 + 10y Solving -4 + 4y = 12 + 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. -4 + 4y + -10y = 12 + 10y + -10y Combine like terms: 4y + -10y = -6y -4 + -6y = 12 + 10y + -10y Combine like terms: 10y + -10y = 0 -4 + -6y = 12 + 0 -4 + -6y = 12 Add '4' to each side of the equation. -4 + 4 + -6y = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -6y = 12 + 4 -6y = 12 + 4 Combine like terms: 12 + 4 = 16 -6y = 16 Divide each side by '-6'. y = -2.666666667 Simplifying y = -2.666666667
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