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Simplifying 4(y + -2) + -2 = -4(-6y + 7) + -5y Reorder the terms: 4(-2 + y) + -2 = -4(-6y + 7) + -5y (-2 * 4 + y * 4) + -2 = -4(-6y + 7) + -5y (-8 + 4y) + -2 = -4(-6y + 7) + -5y Reorder the terms: -8 + -2 + 4y = -4(-6y + 7) + -5y Combine like terms: -8 + -2 = -10 -10 + 4y = -4(-6y + 7) + -5y Reorder the terms: -10 + 4y = -4(7 + -6y) + -5y -10 + 4y = (7 * -4 + -6y * -4) + -5y -10 + 4y = (-28 + 24y) + -5y Combine like terms: 24y + -5y = 19y -10 + 4y = -28 + 19y Solving -10 + 4y = -28 + 19y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-19y' to each side of the equation. -10 + 4y + -19y = -28 + 19y + -19y Combine like terms: 4y + -19y = -15y -10 + -15y = -28 + 19y + -19y Combine like terms: 19y + -19y = 0 -10 + -15y = -28 + 0 -10 + -15y = -28 Add '10' to each side of the equation. -10 + 10 + -15y = -28 + 10 Combine like terms: -10 + 10 = 0 0 + -15y = -28 + 10 -15y = -28 + 10 Combine like terms: -28 + 10 = -18 -15y = -18 Divide each side by '-15'. y = 1.2 Simplifying y = 1.2
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