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Simplifying 4(y + -2) + -5 = -3(-7y + 2) + -3y Reorder the terms: 4(-2 + y) + -5 = -3(-7y + 2) + -3y (-2 * 4 + y * 4) + -5 = -3(-7y + 2) + -3y (-8 + 4y) + -5 = -3(-7y + 2) + -3y Reorder the terms: -8 + -5 + 4y = -3(-7y + 2) + -3y Combine like terms: -8 + -5 = -13 -13 + 4y = -3(-7y + 2) + -3y Reorder the terms: -13 + 4y = -3(2 + -7y) + -3y -13 + 4y = (2 * -3 + -7y * -3) + -3y -13 + 4y = (-6 + 21y) + -3y Combine like terms: 21y + -3y = 18y -13 + 4y = -6 + 18y Solving -13 + 4y = -6 + 18y Solving for variable 'y'. Move all terms containing y to the left, all other terms to the right. Add '-18y' to each side of the equation. -13 + 4y + -18y = -6 + 18y + -18y Combine like terms: 4y + -18y = -14y -13 + -14y = -6 + 18y + -18y Combine like terms: 18y + -18y = 0 -13 + -14y = -6 + 0 -13 + -14y = -6 Add '13' to each side of the equation. -13 + 13 + -14y = -6 + 13 Combine like terms: -13 + 13 = 0 0 + -14y = -6 + 13 -14y = -6 + 13 Combine like terms: -6 + 13 = 7 -14y = 7 Divide each side by '-14'. y = -0.5 Simplifying y = -0.5
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