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Simplifying 4(y + -2) + -2 = -3(-6y + 2) + -6y Reorder the terms: 4(-2 + y) + -2 = -3(-6y + 2) + -6y (-2 * 4 + y * 4) + -2 = -3(-6y + 2) + -6y (-8 + 4y) + -2 = -3(-6y + 2) + -6y Reorder the terms: -8 + -2 + 4y = -3(-6y + 2) + -6y Combine like terms: -8 + -2 = -10 -10 + 4y = -3(-6y + 2) + -6y Reorder the terms: -10 + 4y = -3(2 + -6y) + -6y -10 + 4y = (2 * -3 + -6y * -3) + -6y -10 + 4y = (-6 + 18y) + -6y Combine like terms: 18y + -6y = 12y -10 + 4y = -6 + 12y Solving -10 + 4y = -6 + 12y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-12y' to each side of the equation. -10 + 4y + -12y = -6 + 12y + -12y Combine like terms: 4y + -12y = -8y -10 + -8y = -6 + 12y + -12y Combine like terms: 12y + -12y = 0 -10 + -8y = -6 + 0 -10 + -8y = -6 Add '10' to each side of the equation. -10 + 10 + -8y = -6 + 10 Combine like terms: -10 + 10 = 0 0 + -8y = -6 + 10 -8y = -6 + 10 Combine like terms: -6 + 10 = 4 -8y = 4 Divide each side by '-8'. y = -0.5 Simplifying y = -0.5
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